I have 2 drawers of ink pads. One is for my Oxides that I just stack them in and the other holds my distress inks stored upside down and a bunch of old inks I don't use anymore. Should probably throw them out, maybe someday.
Years ago I had all of the Stamping up pads and stored them in a wooden rack made to fit them. I got rid of them all and the storage shelf. I only buy Tim Holtz pads now and I store them upside down in a clear three drawer stand alone on top of my cubes. I do have a permanent ink pad of another brand but I hardly use them anymore.