I drive a Chevy Volt 2017. It came with shitty cheap all season tires that just slid all over the road and turned the car into a death trap. I figured it was just bc the car is heavy and FWD only.

I then put Michelin CrossClimate2 tires on the car and it's a night and day difference in drivability. I'm still waiting for some really bad conditions to test them out, but I can drive confidently without slipping in conditions that would have been too dangerous with the old tires.

Also, don't drive like a maniac. Leave space between you and other vehicles, and drive slow. It's amazing how much more dangerous things can get when there are people on the road driving like a*holes.

So yeah, good tires and good technique are the most important driving tips. So long as you have both of those, a cheap car will be fine in the weather.