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On Location Tours specialise in guided tours to locations around New York and New Jersey which have been used in film and TV shows. I recently did the Sopranos and Sex and the City tours. If you're a fan of either show I would highly recommend them. The Sex and the City Tour is particularly good for finding out about good bars and restaurants in the city.
I really recommend hiring bicycles to get the most out of an hour in Central Park. Hire from the Loeb Boathouse is $9 for an hour on a "cruiser" which is a bike without gears (or actually brakes, but don't let that put you off!). You will also need to leave something like a passport or a driver's licence as a deposit. There's a good path around the outside of the Park, which is about 8 miles (apparently). There is one awful hill at around 103rd street, but once you're over that (I pushed my bike up), you're away. It's a great way to see all the sights of the park, without taking up an entire day - the full circuit took us about an hour. Finish off with a frozen lemonade from one of the stands by the Bethesda Fountain -you'll deserve it!
Loeb Boathouse, Central Park (roughly in the middle of the Park, at about 72nd Street)
Near the Boating House you can hire bicycles. A really good way to have a look at the whole park. More hilly than you might think though!
www.centralparkbiketour.com/ for online booking
The Wollman Rink goes in Central Park in late October when it is still sunny and is there till March. I would recommend going late afternoon and, as you skate round, the sun sets and shimmers off the buildings opposite the park and as it gets darker the lights in all the buildings go on. It is a truly beautiful experience.
Central Park, mid-park at 62nd St
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