Itinerary in New york
A trip to New York city sounds just fantastic! No matter how many times you visit NYC, you just fall in love with the city all over again. There is plenty of things to visit here such that even a week long stay would be short enough. I have tried my best and picked up the best possible attractions as per your preferences. Here's what your itinerary looks like!

(Source: nosha)
Playing at the iconic Majestic theater, the Phantom of the Opera is coming up to their 25th year running on Broadway. The show is a mixture of haunting romance, mystery, strong operatic voices and elaborate costumes. What's more, the show is still running to packed houses. It is therefore advisable to book your tickets in advance.

Phantom of the Opera - Majestic Theatre (Source: kawanet)
Here is a review:
Phantom of The Opera is coming up to their 24th year running on Broadway and they still have a packed house every night. I get why now. I was able to witness this great musical in grand fashion...orchestra seats that were exactly in the center of the entire theater. AWESOME. I never saw Phantom before but as the show was going...I realized I knew some of the music already. That is the effect of a great musical...these songs are part of our pop culture already. I have heard these songs here and there. Â This is a grand show...the sets, the costumes, the live orchestra, the music, the lights....everything about this show is so..............BROADWAY! To think....I have never seen Phantom before. Why?! What's wrong with me?! What else am I missing?!
(Source: The Phantom of the Opera - Midtown West - New York, NY)
Address: Majestic Theater, 245 West 44th Street, New York, NY 10036
Running Time: 2 hours and 30 minutes.
Rates: Starting from $26.50.
Contrary to what the name might suggest, the Museum of Sex apart from being thoroughly entertaining, is surprisingly educational. It dedicates itself to 'the history, evolution and cultural significance of human sexuality' and apart from the permanent collection, has had recent exhibitions that have included 'Action: Sex and the Moving Image'. The plenty of sex toys certainly does not make this a place to visit with your kids and you must be above 18 to visit. So do not forget to take your valid age proof.
You can avail a discount of $3 by booking online.

Deer Threesome (Source: nickjohnson)
Here is a tourist review where the museum has been highly recommended:
The exhibition is basically divided into two sections. The first being about the evolution of sex within the animal kingdom. This is interesting but certainly throws a wet towel on the idea of learning all about sex. The other section is about the evolution of sex amongst humans. There are lots of interesting exhibits and some amazing artifacts to check out. Overall its really worth a visit and a great place to take your partner.. but maybe not on a first date =p
(Source: Museum Of Sex - New York, NY, 10016 - Citysearch)
Address: 233 5th Ave, at 27th St, New York, NY, United States
Ph. No.: +1 212-689-6337
Price: $17.50 + tax
Timings: Sunday - Thursday: 10am-8pm · Friday - Saturday: 10am-9pm
The bike ride along the Hudson is incomplete without a visit to the nearby Grimaldi's Pizzaria which serves New York's best coal fired brick oven pizzas. The restaurant, though small, is well located under the Brooklyn Bridge and is considered as the favourite pizza joint for celebrities like Frank Sinatra and Former NYC Mayor, Rudy Guiliani. So don'd be shocked if you find quite a few celebrities waiting in line with you for a taste of New York's best pizza. Click here for their menu.

Grimaldi's Pizzeria (Source: jonathan mcintosh)
Here is a review by a fellow foodie:
My teenage daughter and I visited New York over the holidays and this was on our 'must see' list. There is always a line so be prepared to wait. We waited about an hour in the freezing cold (30 degrees) but it was worth it!! The pizza was fabulous, and you can watch them putting the pizzas in the brick ovens. The restaurant is always packed. I'm pretty thin and they tried to squeeze me into a table that was so tightly arranged that I felt like I couldn't breath. But we moved our seat and it was ok after that. If you are walking across the bridge, as we did, as you get into Brooklyn, there are two pedestrian exits. Take the left exit that goes down the stairs. We accidentally took the right one and had to walk way out of our way to get to the restaurant. This was one of the best things we did on our visit to New York!
(Source: Grimaldi's Pizzeria Restaurant Reviews, Brooklyn, New York - TripAdvisor)
Address: 19 Old Fulton Street, Brooklyn
Ph. No.: (718) 858-4300
Price Range: $3 - $15
Although only offering tours on a limited basis each week, the tours at Bike The Big Apple are some of the most unique in New York City, that's for sure. From 'The Sensational Park And Soul Tour' to 'The Delights Of Brooklyn,' this tour company reaches far and wide to show you all the best of the place. One of their hallmark tours is that of Northern Manhattan where you'll get to experience a mixture of European and Caribbean flavor! On this tour you'll visit the church with the most bells in the world, a lighthouse with a very unique story and other iconic structures such as the Peace Fountain. Here's what someone had to say about their own unique experience:
What an amazing experience! We went on a tuesday on the 'secret streets' tour. Visiting so many places we probably wouldn't have seen otherwise, this really is a gem. Marc and Nelson were amazing guides and, although thinking we were crazy to ride on the streets of New York the day before, I can honestly say I have never felt safer on a bike. The guides were always clear on how we would manouvre next and signalled all the way. Food stop was an added bonus and loads of photo opportunities and historical/cultural explanations made it truly fantastic. Would do it again in a heartbeat on our next visit.
(Source: Highlight of NYC - Review of Bike the Big Apple, New York City, NY - TripAdvisor)

New York: Bike Spotting (Source: Yi Chen)
Contact and Booking:
Phone: (347) 878-9809
Email: Explore@BikeTheBigApple.com
Rates: Adult rates - all tours are $80-95 including bike (bring your own bike for a $10 discount!)
Availability: All tours are Fri-Sun and Tue. and offers both day and night tours. Reservations can be made by clicking on each individual tour on their website (at bottom of page) or by contacting them directly through email or telephone links provided here.
Other: All prices include tour guide and helmets also.
The Perkins Memorial Drive is a scenic road to the summit of Bear Mountain. The summit offers panoramic views of four states and the skyline of Manhattan. Just 45 miles north of New York City lies the Bear Mountain State Park in the Hudson Highlands. The park offers playing fields, picnic groves, rowboat docks on Hessian Lake, nature trails, an ice-skating rink, Iona Island Estuarine Reserve and Bird Refuge, Perkins Tower among others. If you'd like to stay overnight then Bear Mountain Inn, a rustic historic building is the place for you. If you're looking for good restaurants then Prima Pizza in Cornwall is your best bet.

(Source: Dougtone)

(Source: New York to Bear Mountain)
Price: Parking is $8 per car
Directions: From the west end of the Bear Mountain Bridge or near the north end of the Palisades Interstate Parkway, look for signs for Bear Mountain Park and Perkins Memorial Drive.
The Henry Hudson Parkway extends 11.1-miles from West 72nd Street in Manhattan, across the Henry Hudson Bridge over the Harlem River, to the Bronx-Westchester border. The parkway was laid out to capture the natural scenery in the area. It also offers historic and cultural features that are visible from the road or easily accessible. Almost all points along its length have views of natural or man-made wonders. Each of its exits have access to the city's major cultural or historic sites or districts. The West 79th Street Boat Basin Café is the perfect place for great view and scrumptious BBQ.

(Source: dandeluca)

(Source: Henry Hudson Drive)
Directions: Alpine Approach Road connects to Henry Hudson Drive in Alpine from U.S. Route 9W about 1 mile north of Closter Dock Road.
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Recognized as one of the top ten shopping streets in the world, the Hell's Kitchen Flee Market provides a shopping experience like no other. With something for everyone, shopping in the market is more like a treasure hunt, where one may find everything from Gucci bags to vintage vases and plates.
Hell's Kitchen Flea Market (Source: Carl MiKoy)
Here is a tourist review:
(Source: Hell's Kitchen Flea Market - Hell's Kitchen - New York, NY)
Address: 39th Street between Ninth and Tenth Avenues
Ph. No.: 212-243-5343
Timings: Saturday and Sunday 9am–6pm