My mare has already started getting fuzzy! I love giving her giant hugs and snuggling my face into her soft neck. :)
We use stock tanks with heaters and clean them weekly. We also have a heated hose so that we don't have to worry about trying to drain the water out of it.
For food, the two horses share a Quart of grain daily( I don't know if they need it or not, but it seems like a nice treat). They get free range of the hay, but if we find that they aren't eating it all, we cut back a little. They always seem to eat the hay so quickly! It frustrates me because I know that they should be "foragers" and not be gorging themselves! ;) To solve this problem I bought a soccer net with 1' squares and made a bag to put their hay in, this way it takes them much longer to eat, and keeps them from getting so bored.
To take care of the mud and dirt I try to move them around between the pasture, "arena", and their paddocks as much as possible. This way the snow doesn't become compact and slippery, and it doesn't make everything muddy. We have gutters on the front of the shelter to prevent water from pooling where the stand to eat.
I clean their feet daily to help reduce the chance of thrush, which we have had a problem with before. I also trim their feet weekly so that snowballs can't form in their hooves. To keep them fuzzy I try to brush them a few times a week, and as much as I hate it, I let their bridle-paths, muzzle whiskers, and fetlock hairs grow out to help keep them warm.
As for me? I look like that kid off of a Christmas Story! I usually feel like I can harldy move so I don't ride much. Besides that, the days get much shorter and there isn't much daylight to ride in after school.