we just moved but at our previous home, there were to two nails on a narrowish wall between the living room and kitchen. The nails were spaced perfectly, one above the other. There are only three of us, so I hung both my children's stockings there and so it served not only as a place to hang their stockings, but also looked nice as a Christmassy wall decoration. I hung my stocking on another nail which was on the next well, right next to theirs. I might do that again in our new place, but not sure yet. The stockings were in a vertical line, but hung at a slant, which gave a very nice effect.
My sister hangs hers on one of those coat hangers, like somebody else mentioned, that has the wooden pegs. Hers has several pegs on it and is in her kitchen.