I bought a tote bag (sort of like a gym bag) for $1 at a yard sale, so far it holds all three of mine plus a couple of other large punches. I have about five of these types of totes...one for my Big Shot and alpha dies, one for mat stacks and smaller paper pads (I am paranoid that I won't have the "right" color paper), one holds all my "Punch Around the Page" and border punches with assorted single punches, another has all my Sizzlits alphas. They are pretty heavy, but I just leave them in the back of the car when I go someplace to scrap and then get out only what I need...or someone else needs to borrow.
I have a large basket that sits in an Ikea Expedit bookcase in my craft room. It fits my punches including my 2 lucky 8 punches.
I like that it hides the clutter but I do have to sort of sort through the smaller punches to find what I'm looking for......