Welcome,
I moved up here from the south last spring. There are some pretty major diffeerences, especially in the tags, so make sure you pay attention to what tags you have and when you are using them. I called DEC and just asked all my little questions for an hour, they were pretty good about it. The other difference is make sure you know the regs for not only the county, but the township and any special area you are in. There's twice as many governmental layers up here as down there.
Taking a hunter's safety up here might be helpful, even if you have it. The guys who teach it are all sportsman who can tell you stuff you won't read about.
Also, if you are going to get some DMPs, make sure you apply early. Everything is electronic, so just go to Walmart and get it.
And find some friends. Public land is not easy to find or hunt.
Oh, and there are no alligators to worry about.