You go out and run your car warm several times a day so the battery doesn't freeze up and you make sure to drive it every day so the tires don' t freeze and crack, same deal with hoses, etc.
I have my car going in to be serviced on the 2nd. They will change to winter weight oil, winter antifreeze, winter solvents for windows, etc., all to deal with the cold.
You HAVE to run your car warm before driving in those temps, otherwise metal warps and rubber gets brittle and breaks. I often spend more money on gas for warming up the car than I do for actual driving.
Well... up hear in da really frozen north...
1) we have block heaters and battery blankets. You plug your car into a timer so that it spends 4 hours out of every 7 "warming up" without running the engine.
2) We run winter weight oil, antifreeze, etc. all year round - well, except for washer fluid, and that's only because we need "bug wash" in the summer.
3) We use winter tires, which are the only tires that can handle the cold (sorry, "all weather" tires work if you occasionally get a bit of snow and temps are mostly above zero. Otherwise, they are as bad as summer tires in this kind of winter)
4) You make sure you have at least a 30-min-one-way trip twice a week, to keep everything warmed up and the hoses in good shape.
I just ran an errand this morning. Unplugged the car. Started it up. Scraped off the frost from the windows. That combo takes about 5 mins. Then drove for 5 mins to an appointment. Car not warm enough from that trip, so plugged back in when I got home, because we're going out again right after lunch.
And this isn't even COLD yet. -25C this morning. That's around 0F.
Brrrrrrrrrr!