For long dies, I have one of the wire racks from AQ. It is stored in a tall hamper with a lid. It keeps them dust free. A second hamper holds bolts of fabric and stabilizers.
Rack
https://www.accuquilt.com/wire-stora...-cut-dies.html
Hamper
https://www.containerstore.com/s/nav...05742&q=hamper
I made labels for the dies with name and number. Easy to read from the top.
Other dies are stored in the cube boxes. They were previously stored in a large clear plastic bin.
Hope that helps!