depends on how cold it gets for you (and what winter conditions you have to deal with like deep snow or ice storms), but another source for inspiration is countries that deal with this on a regular basis (although Nordic countries have a distinct advantage of decent cycling infrastructure in the first place):
utility cycling
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Pogies/bar mitts are the way to go for winter riding.
On the bike I plan to use during the winter, I've got full fenders and a DIY fender extender on the front to keep crap from spraying my chain and bottom bracket.
It's a steel frame bike, so I've already internal coated it with rust protection; once my city drops salt on the ground, it'll get a wipe after every ride.
Other than that, Schwalbe Marathon GT 365 tires, with plans to get a spare front wheel mounted with a Schwalbe Marathon Winter Plus studded tire for when things get dicey.
i've been looking at Surly's on Craigslist for the steel frame factor. and Shifter on youtube also has a studded front tire - i don't usually need one here in western Colorado where i live; i mostly deal with the cold and a bit more precipitation than any other time of the year.
studded are nice, but even when I ran them on both wheels last year, I might have only really needed them twice, maybe. LOL
I'm happy with the GT 365 tires. They are "all season", so they do offer good traction on all surfaces and I can run them all year without worry.
There's a guy on YouTube named ryan van duzer who lives in Colorado and bikes everywhere (doesn't own a car). His videos will have some tips for winter commuting in your state :)