Our lab has 25 Macs with 24" screens. They can run OSX or Windows operating systems and have all the software needed to play and develop games. We have two large projectors and a flat screen which allow us to play 3 different games on big screens at the same time. The sound system is powerful enough to bother everyone else on the floor.
These are examples of some of the game/ interactive media companies in NYC:
There are graduate and undergraduate dorms on campus. Contact Residence Life for more info. Many students live in the city or elsewhere on Long Island and commute. Feel free to contact anyone in the current cohorts and ask them for advice.