I put them in seed trays if I want to store them prior to chitting. The trays go on the shelves in the shed and I put a hessian sack over them so they do get some air circulation. If we get a really cold few days, I chuck fleece over the top of the sack as well. You could use egg boxes if you have room, but seed trays stack. I invariably order seed spuds, then see a good offer and order more, so space is tight

I have a garage style set of storage shelves and use the lowers ones for seed potato storage so they stay down in the dark, rather than being up and opposite the shed windows.
My shed is pretty shaded, stays cool and even when they are under the window on the big wooden shelf, I find I can set them to chit about now and they are fine.