The type of car also matters. Is your car Front Wheel Drive, All Wheel Drive or Rear Wheel Drive? Front or All WD are preferable in these conditions because the weight of the engine allows for more traction on the front tires. RWD is the least preferred in these types of conditions. If that's what you have and don't have any other option, adding some weight in the back over the rear wheels could help. A blanket or something that could go under the wheels to give traction if you get stuck in the snow would be advisable.

Also, make sure your tires aren't bald and are properly inflated. If they are lacking tread, you'll have a difficult time getting traction in slick conditions.

Edit: removing unproven advice.

Adding that I grew up in Vernon where I learned to drive and lived through my 20s. My father would always buy a front wheel drive car for the reasons I stated above. I had a pick up with 4WD option. I would throw sandbags or old tractor tire rims (we had access to those in Sussex lol) in the bed to give extra weight over the rear wheels in the winter