I don’t mean to go against what VDC says, because he gives very good advice all over this forum.
But I’ll tell you - you do not need separate “winter” tires to drive on a plowed road. A good all season will be fine, assuming you don’t drive like an idiot, and take his other advice by slowing down and keeping nice, long following distances. In fact, some winter tires, like Blizzaks, lose their phenomenal grip very quickly if you drive them on regular pavement, which means you either take them back off once the plows go through, or you wear away the grip layer and end up with a regular tire.
If you live somewhere like a village on top of the Rockies, then winter tires are a good idea, but if you’re in the flattened north, they’re helpful, but not completely necessary.