I've used the 'sleeve' and dowel method for my wall hangings. I drill a small hole through it about an inch from each end and then thread small twine or ribbon through and knot it then hang.
I've just recently seen where triangles were placed on the backing into the binding to form a pocket to place a dowel or flat piece of wood to hang on a nail from the center. Using that method would have it hang like a picture with no swine or ribbon showing. I think I'm going to try that method for my next wall hanging.
As far as full size quilts they have wooden quilt hangers that I've seen.