Hi there! I do agree that finding a job in NYC will be difficult (as NYC is one of the toughest job markets for new nurses in the country), however, it's still worth a try! I would still apply to all hospitals in the area that you're interested in; just don't limit yourself to NYC. As the PP stated, connections are everything. In addition to applying to NYC hospitals, apply where you have connections, know people who can write you recommendations, etc.
As far as NYC goes, there are a ton of hospitals but not all hire new grads. I'd look into Mount Sinai, NYP, and HSS; I know quite a few people who got jobs there right out of school!