Why on earth baste on your knees? Buy a couple of folding tables, lay out the batting, stream Elmer's School glue on it, smooth on the backing. Let dry, turn over and do the same with the quilt top. (I usually press to set the glue immediately so I don't have to wait.) Done. Fold up tables and put under bed. I use the fold in half 6ft tables from Lowes. They have handles and are easy to carry and store.