Sheeeeiiiiiit. Upstate NY doesn't get cold. Minot, AND gets cold. I lived there for a year, and it taught me a few things.
Listen to what others are saying about how to handle it. Upstate cold blasts are usually short lived.
Get proper cold weather gear, it's going to be expensive.
Use the proper washer fluid in you cage.
Switch out your coolant for 100% coolant, no water.
Buy a new battery.
Pack your car with a cold weather survival kit. It could literally be as simple as a warm blanket provided you dressed warm enough, or as complex as a full on kit if you didn't.
Don't run low in food at your house. You won't be snowed in for weeks up there, but you could be for a few days.
Learn how to enjoy what we don't get here in California. I'm not a big fan of the color, but there are a lot of things you can do to have fun in it.
Littlebeast has a lot of good tips, but the winters she grew up in are way more hardcore than what you'll experience in NY. Great advice, and you'll be well prepared if you listen to her.
And don't waste your money on a block heater. I got by just fine in ND without one, but I did have a summer and winter blend for my coolant. Money would be better spent on a heated battery blanket.