Nice quilts. They will be appreciated.

No, I have no trouble with it. I simply make the fleece backing large enough to fold the backing to the front and to make a "self-binding". I do often cut off a triangle from the corners to reduce the bulk a little and I also stitch the corners when I'm stitching the binding down. I find a large zigzag or a "connecting" stitch works really well for sewing down the binding. Looks nice too.
I use a little basting spray to anchor the fleece to the top. I do not use any batting when I use fleece. It does not take a whole lot of quilting, either, because the fleece tends to "stick" to the top on its own. On baby quilts, I usually stitch 3 rows either up and down or across the quilt, then stitch around the inside of the border. It works well and they stand up well for frequent washing.

cute little quilts! love that backing with the animals

Very nice.