Hi Dev, and welcome to VATSIM and VATUSA. I'm a little bit ahead of you, so I will try to help. You have to take and pass the initial exam here on VATUSA, and at that point are asked which ARTCC you wish to join. Don't worry about NY just yet.
So your next step is to keep an eye on the VATUSA Home Page:
http://www.vatusa.net/home.phpand making sure you're logged in (your name will show at top-right), look at the third column on the right, under "My Alerts". It should show in red something like "You have an exam to take".
This is the initial exam, and everything is covered under Reference Materials > Basic ATC (maybe a little from S1, I can't remember). The exam is "open book", but you still have to know where and what you're looking for. It's only about 20 questions, but TAKE YOUR TIME. Some of the questions may seem like trick questions, but there's good reason for that.
Check back with this thread if "You have an exam to take" doesn't show up on the Home Page in the next day or so. Later, check back to help someone else get started.
Mark Keyes