It's really good if you don't have winter in your place. But if you have, I have some suggestions for you:
1. Make longer warm up inside.
2. Be attentive, don't slip, don't hurry to much. If it's very slippy you should just walk in some places, not run.
3. Dress more clothes. Maybe wear two sweaters or even two trousers. But you have to feel comfortable.
4. Gloves should be very easy because if you run a lot, later you will want to put them in your pocket.
5. Wear a cap.
6. Try not to stop when running. It's better to move all the time.
7. Do not run if you feel ill.It can cause much more serious diseases.
8. Have warmer shoes.There are running shoes for winter time.
9. If it's raining, wear rain jacket. Jacket should be very light.
10.Drink a cup of tea after running. It helps to get warm.
The lowest temperature for me was -20 by celsius :) And I didn't get cold, even after 5 kilometers I took off my gloves :)
Remember - THERE'S NO SUCH THING AS BAD WEATHER, JUST BAD CLOTHING.