This week I made a diaper wipes case for a friend's baby shower, but I wasn't in the mood for hot-gluing (every once and a while I like to save my fingertips).
Silhouette machine. The front had the pattern only, fudged slightly on that center flap.
You don't need a Silhouette to make one of these (although that certainly makes the process quicker and more precise). Vinyl can always be cut by hand, and I think even Contact Paper would work well. I recommend using a premium or outdoor vinyl if you can get your hands on it, since the adhesive is stronger and hold up to more abuse.
UPDATE: You can find the wipes case template posted HERE.