stuffed animal storage?

I am combining my daughters into one bedroom, and using the other bedroom for storage and play. My daughters combined have about 80 little to medium sized stuffed animals, and I am looking for a good way to store them so they can still be used. I was thinking of a large mesh hamper type thing, but i cant find any big enough. I really don't want anything that hangs from the wall. I'm not looking for anything hard, like wooden or metal. Any suggestions?