There are lodges all over New York city. You need to find a lodge in your neighborhood, and contact the secretary, and obtain a petition (application form). You will then fill out the petition, and submit it to the lodge secretary. I suggest that you visit the Grand Lodge of New York website at:
http://www.nymasons.org
The lodge locator, will tell you where the lodge is in your neighborhood. You can also read about the history of Freemasonry in New York, and examine the requirements for petitioning.
I belong to a lodge in the Buffalo area. Please send me a PM, with your name/address/phone/email, and I will be glad to assist you.