You can do it! My kids 11 & 14 have been winter cycling a few years now. I even found a studded 24" tire.
My three tips are:
- Studded tires. I love the Schwalbe Ice Spikers.
- Dress warm. If you're cold you make bad decisions.
- Don't overheat. Ride slow and enjoy the ride.
The great part of winter cycling is that any precipitation is snow. Yes, I still dislike riding in the rain. Something I have to work on.