I had this same issue with my table. It is a furniture type table with claw legs. I notched them from the rear and put levelers on them. From the front you can't see them. HERE is a post with the pictures. I found the levelers on the web (sorry been so long don't remember where). They screw into the bottoms of the legs with T-nuts similar to THESE ones.
Unfortunately that project is 3 years old now and they have been thrown out. I really like the clothe idea; very "trick". Maybe a brown/cherry colored cloth to match the color of the wood. Nice seams/hem (my mother in-law treats me well) staple from back then fold over like the pocket work done by the mechs. on this forum. Oh the ideas are cooking once again! :thumbup: