I've seen a cute idea on Pinterest in various forms of a stocking hanger. It's a rectangular wood board that you can either attach hanging hooks or even cabinet knobs to for hanging stockings. On the board, above the hooks, you paint "The stockings were hung..." You can either just modify some simple board (I saw one that looked like a stock cabinet door) or get a raw one that you stain or decorate yourself. It looked very simple for even a lazy DIY'er like me. Plus you can make it as big or little as you want, and stow it away after every holiday.
FWIW: I know one of the versions I saw looked commercially done, so you may be able to buy one somewhere if you have no interest in making one.
Edited to add: I've also hung them from bookcases in the past using the weighted stocking hangers. I had to store a few things away to make room, but just for a month.