oki from the size of your peepad I don't think you NEED to quilt it twice so you don't need the inner square of stitching in my opinion. its just a nice touch looks wise. A main issue with fleece is its stretchy so be careful when machine sewing not to over stretch or sew it too tightly.
I'll try and give you a written step by step of how I would make one personally let me know if it makes enough sense.
1: cut your fleece to desired size allowing an inch or so for seams. (better to have too much than to little)
2: place the fabrics top side against each other (so inside out like in the video)
3: sew around the seams leaving a gap to turn it out.
4: Turn it out the right way then cut your center piece of material (wadding/uhaul/towel etc) slightly smaller and put it inside the pad and make sure it reaches all the corners etc.
5: machine sew an inch from the edge your quilting square this then holds the wadding into place (by not sewing the wadding into the original seam it makes it less bulky)
6: sew an innner quilting square if it needs it.
7: close the gap in the pad when your happy with it using this type of stitch
and voila
does this help at all?
