I have a small workroom that is packed with stuff and I like my punches close to me so I can access it easily and visible. I have seen some solutions using curtain rods and shelves but I just have no wall space to do them. These drawers were on sale at the local craft store for 50% off - it is self assembly but it did not take too long to put it together and they are stackable to boot. I used wood glue to really secure the drawers because I knew the punches would be heavy and it has worked out really well.
The new style of punches fit perfectly side by side - the smaller ones I can fit 3 across. You can easily see what it is with the label up and how many each drawer can hold. I have 2 drawers filled so far so glad this came with 4. The only issue is when there is not enough punches to keep them upright. I sometimes will put a small box or something behind them to keep them upright. I am keeping all the shapes in one drawer and holidays and others in another. Even the tag punches fit standing up. Maybe this is a compact solution that will work for some of you as well. I've had this now for several years and I think it is the best solution for me!