First thing to do is apply for a firearm. As a NYC resident you have to jump through a few hoops to get a gun.You are living in one of the most gun unfriendly areas in the US. Move a few blocks out of the five boroughs and it completely changes but as it stands have fun filling out forms and getting approval from the cops and maybe, just maybe, in six months you'll be able to buy a .22. Once you get the gun then post/ask again and I'm sureeveryone will providelists of public land in NY available for hunting and maybe even a few public places that don't show up on such lists.Also as stated above the hunting course guys are usually very friendly and will give you tons of info and even info on some clubs etc.Good luck.