Apr 18 Apr 18 Dog Bed Cover Mikana Crafts I made the bed cover out of demin that was no longer needed at the office. The trim is made from scraps from the bunting (a previous project); I made bias tape and stitched it around some cord. The bed cover is like a large, zippered pillow case because Momo's bed is rectangular and rather flat.Tuesday Stitches' Sewing a Pillow with Piping and an Invisible Zipper Bias Tape Tutorial Don't do this! Don't zip up your zipper all the way and then stitch it to the other piece of fabric! I had to rip out some of the stitches just so I could unzip the zipper.