After sewing each strip to the front, I zigzag-stitched the seam allowance. Then I turned under the unseen edge of the strip and zigzagged it as well.
The edging is rather thick, but I don't think it will unravel or shred. That little boy is going to have one soft blankie when he gets this quilt! I ordered both the top and backing fabric from Hancock Fabrics several years ago.