Hey this is cute! You did a great job on it. If you want it to close you could always add some velcro with tiny stitches, hand stitched on after you finish the bias edges off. That would be pretty easy.
Just in case you want to make one with a zipper next time, take the two front and back pieces of fabric and sew the zipper on. right sides together. Then sew up the sides, leaving the zipper open while you sew it. Then turn it right side out .... done! (The edges could have bias sewn on to finish the inside pretty, but if they are pinked, it shouldn't ravel very much.)