I remember seeing an NPC move a bed...
With enough strength, you can move and pick up furniture in the game as well. Have you tried dragging a bed into your inventory?
I have tried to move a bed before.
I don't think strength was the issue.. it didn't act like it was going to let me do anything other than "use" it. I wouldn't be surprised if there are some beds out there that are flagged differently, though.
