We have several fleece throw blankets that we use during the cooler months to keep off the chill from several drafts in the living room.

It's not practical to have them folded & draped over the backs of the couches (DD inevitably climbs or jumps on the furniture, knocks them off, and refuses to pick them up) so I'm trying keeping them rolled & tucked underneath throw pillows. This is also impractical because DD won't re-roll them and DH doesn't seem to understand the concept.

I need them easily accessible, even for DD, but stored in such a way that they're unobtrusive. Attractive is a plus.

Would using some kind of basket or bin work better?