Should I use my 4 sets of Alloy rims in the winter or get 4 sets of Steel rims?

If your original alloys are going to be replaced in the spring then mount the snow tires on the originals and store the summer tires, then retain the snow tires on the original rims and mount up new wheels/summer tires in the spring. It's cheaper in the long run (and less possible damage to beads) to have 2 sets of rims and tires. Almost everyone I know has 2 sets of tires/rims for their rigs for summer and winter driving. I'm in Eastern Washington and grew up in North Idaho so use to swapping tires.

Alloy rims corrode more than painted steel wheels rust - they need to be kept salt-free if you don't want rim leaks.

Buy some steel wheels or used factory alloys for your winter tires, mostly so you don't have to pay to have them swapped twice a year.

do you not bang you're mrs to save her for the next bloke. Drive on the factory wheels and get a better car for peace of mind if you want to drive in the snow a 4 wheel drive with a bit ground clearance and aggressive tyres for the snow the more tyre the better for rough roads with big holes.