Hi and welcome.. not quite sure why you'd move from Florida to NY but whatever floats your boat... Please turn caps off, it's typically interpreted as 'yelling' and also it's just hard to read. Thanks
As for hunting in NY: Most of the eastern section is private and posted.
At least until you get pretty far up into the Adirondacks and believe me, that's some TOUGH hunting and deer are few and far between. The ones that are there tend to be pretty big though. I can't speak to the center or western parts of the state, they may be different. We do have some state game lands around us but the hunting pressure is brutal and there are a lot of IDIOTS who don't care if they setup within eyesight of others, movement shoot, etc.... can be scarey.
As for PA, I've hunted some of the State Game Lands in the Tobyhanna area. Deer and bear there but like anywhere you have to have the time to scout out the areas.
Good luck and hopefully others will chime in.