Recently we bought a Bissa cabinet from IKEA (https://www.ikea.com/us/en/p/bissa-shoe-cabinet-with-3-compartments-white-10242739/) with the intent of using it for gloves, hats and (now with COVID) masks.

I created this boxes to hold masks for each member of our family, they slot into one 1/2 of the drawer, wedging in a little bit so that the bottom doesn't go all the way down. This creates a bit of a pocket that we use to put used masks to be collected later for cleaning.