You have gotten good advice. Use bias binding and work slowly using a 1/4" seam. Pin the daylights out of the seam and clip CAREFULLY to bend to the edges. Do not cut into the seam allowance. When you have clipped and sewn, you may want to sewn a second seam for reinforcement. I did this on a scalloped edge dogwood quilt. I remember being scared to cut into the quilt, but after a few minutes, the fear went away. Another note, I would try to do this at one sitting so you will stay in a rhythm. Please post again so we can see the lovely, challenging result.