Rabbits' first winter outside?

Well I live in New York on Long Island. My rabbits live outside all year long. In the winter months I move the cages to the south side of my barn to block the wind. I do cover them with a tarp to keep the snow from getting in the cages. As long as they are feed well and out of the wind they will be ok. I don't think Tennessee winters are as bad as New York winters. Do NOT but insulation in the rabbits cage they could eat it and that's not good. You could give them extra hay to eat and that helps keep them warm.