I did a few years of commuting in southern Ontario winters on a bike. I ran regular width hybrid bike tires with tungsten carbide studs.

Schwalbe makes snow stud tires to fit a variety of wheel diameters and widths.

Since Southern Ontario plows and salts a lot, deep snow was not really an issue, it was ice, so commuting was easy with studs. On snowy days with build up I'd ride in the tire track of a car that had already made the trip.

When weather was really bad, I actually was faster than the cars on the road because they couldn't get good grip.

Short self tapping hex head screws drilled into a thick soled work boot were also helpful for when you have to stand or push off.

A good Air'Zounds horn is a must.

Moisturize your exposed skin before you set out.

Buy a set of snow mobile gloves with the split claw. Good warmth and you can still use brake with two fingers with rest on the handle grip.

Boots studs and tire studs