I have the wooden cubes - like a book case but deeper. store them on the side.

I found a rack in a second hand shop. It looked homemade. A flat piece of wood with dowel rods every 1inch. Two are level. They fit straight up. The dies stand upright between and I can move the rack easily.

Thank you everyone for some wonderful ideas!!!! Sometimes my brains just hits a roadblock and the dies were one of them!!!!

my long ones are stored flat on top of each other. Does it say somewhere that they shouldn't be stacked? I thought I read that the long dies shouldn't be on their sides but I can't remember where I saw that.