How much do you want to spend? If you want the best winter/snow performance, you have to use snow tires. It's expensive and a pain, but the cost of them is far less than putting the vehicle in a ditch or worse.
Next best would be a set of tires with the three peak mountain snow flake emblem/"certification" on them. It's abbreviated 3PMSF. These are classified as all weather tires that can be run all year.
I was in a pinch a few months back with my 2021 Equinox LT AWD. I got an un-repairable flat on one of the Continentals that were on it and all of them were pretty well worn. I ran over something at 4am in the pouring rain on my way home from work. The TPMS went DING! 20psig, 15, 10, 0 whomp.. whomp whomp all in about 10sec. I was in a bad spot and had to drive on the flat for a mile or two to get to an area that I could safely pull over.
I went with an inexpensive set of Mastercraft Stratus from a tire/repair shop close to my home. They're decent for what I paid. I don't expect to get more than 36K miles out of them.