When you ride your own bike in winter avoid ice or you will fall even if you have stud tires. Wear good gloves when you go riding. Preferably ones that are waterproof and windproof. Wear a hat under your helmet or your ears will fall off. If you can, wear a snowboarding helmet because they are insulated.
Try to take the fastest route you can or else you will be late for school. Test out a route before you go on it on a real day when you have to go to school.