I'm not sure what you are asking.
If it were me getting ready to build a rack, I'd find the sizes of bins first, and see if I could find bins all the same height. Otherwise, your rack will need different size heights between shelves, or you'll only be able to use ONE size bin in it, instead of several.
OR, you can build it with the top shelf made for small bins(maybe two across?) and the middle shelf for medium bins, and the lower two or three for larger bins?
Wood type? 2x2s or 2x4s and plywood? Use 1/2inch, good quality? or melomine?