+1 to making sure your washer fluid can handle the cold and to making sure your tires handle snow/ice well. (There are definitely all-seasons that’ll do well or better than some winter tires. Unless you know that where you’re moving doesn’t plow down to pavement, I’d avoid studded tires.). Tirerack.com used to have a ton of data about tire performance on ice & snow, so you might look there, but they’ve been reducing the range of tires they carry and rate in the last few years so they may not have your tires.
Find a snow brush for your car that will let you reach & clear the snow off your car. I’ll also say I often am most disappointed by the ice scraper on a brush – meaning that’s the part that makes me regret the purchase of an individual brush.
There are people in temporate states like CA that just put water in. That’s why I explicitly mentioned it.