Great! You visiting NYC! Awesome place to be in. I use to live & work there for a couple of years. You can try visit the NYC Visitors' Center in Times Square. You can check out some information there on where to go. It is better to use the subway in nyc itself. Get the day pass or week pass (mrt ticket) 1 price, unlimited rides for 1 day or 1 week. Make sure you are dress appropriately, it can get very cold. The coldest season during winter is between Jan to Feb.
Avoid carry too much gear that make you look like a delicious target to rob or con. (eg. tripod, camera bag that looks like you've lotsa expensive gear in it.) Never leave your belongings unattended, or on the floor while sitting in mac donalds. My colleague got his briefcase stolen within 15 mins after we sat down...4 pairs of eyes..yet its gone.
Haha enjoy yourself there & have fun!