Renting a bike is a great way to cover most if not all of the park! There are many spots you need to walk your bike, but no big deal. To get the best rate on a bike barter!! The sales people all want to be "your best friend"!! Shop around and see who will give you the best deal!! There is also a Whole Foods Market close by the Circle just outside of the Park. They have fresh healthy picnic style food to get and take into the park!
Take you time in the park if the weather is nice! Lots of entertainment in and around the park. Definitely a place to slooooow down the fast pace of touring New York City! Buy your own map and study up on what to look for. Enjoy!More