Hausschuhe all the way. Except maybe in summer when barefoot is nice. Although it's summer now in Germany and it rained for the first 4 weeks while I was here and had to put on a sweater.
At home, it's mostly barefoot or socks. Floors get dirty whether you wear shoes in the house or not, dust, cat, hairs, whatever. I may go barefoot in my room where I know it's clean, but I hardly venture into a bathroom or kitchen without house shoes.
My favs are LL Bean ones. I gotta get a friend to bring me a pair cause they're expensive here, good ones anyway...