Let me clarify a few things. (Erie County may have some differences from the rest of Upstate that I'm not aware of.)
1. You don't need any sort of permit for a long gun (except maybe for NYC. And there are new restrictions on many auto rifles, of course.) Some here have said you can't own any firearm here without a permit. Not true.
2. The new SAFE Act, as terrible as it is, regarding handguns mostly only affects high-capacity mags. So if you can get 10 round mags for your pistols, you are OK.
3. Not only does the permit take up to a year to approve, the harder part could be getting people to vouch for you. In my county you have to have known them for three years. In Erie County, you may not have to. But you still need 4 references that live in Erie County.
4. Without a permit, you can't have any sort of possession of a handgun. Period. Concealed, open, home defense, range use. Nothing.
Here's my advice, FWIW. I would hang on to what you have. Keep them with a relative out of state. Maybe you will make friends with someone in NY with a permit, and you could temporarily put the guns on his permit while you wait for yours to go through so you could at least go visit them once in a while. It would have to be a really good friend, though. And you'd have to leave your high-cap mags behind.
Here is a link to the permit application:
http://www2.erie.gov/clerk/sites/www2.erie.gov.clerk/files/uploads/PISTOL PERMIT APP_ 2012.pdf
Good luck! And welcome to NY. It's bad, but it does have its good points. Like, uh.... some of the scenery is very nice.
David