I'll chime in and second every post so far regarding NY costs: There is an art to the commute and it really is a second job in and of itself. As others have said, most people around JFK or LGA, or even EWR, don't live nearby. Yes, there are crashpad communities, and those are easily accessible through Facebook or groups there. Some folks come down from Connecticut on Metro-North, and then backtrack on the Long Island Railroad or the MTA. Just remember, it adds up.
While it's been noted this is FAR 129 OPS posting, it is also heavy jet and ETOPS experience and that seriously is worth the eyebrow raise when thinking "But it's New York," and otherwise dismissing this right away.
Give it some thought. And good luck! (We're all counting on you.)