The joy of a wooden cabinet vs. the practicality of plastic bins !!!
Our club had a presentation a few years ago by a curator from the Royal Ontario Museum, and one of the major points is that plastic is good for deterring bug infiltration. They can't get into sealed packages or containers. If they do, they are usually restricted to the one (sealed) they are in. And since they can't get a grip on the sides of plastic tubs or drawers, they usually can't migrate from one to another, or creep from the carpet into the drawers. And of course moths can’t break in either.

A wooden cabinet may look good from across the room, but I advise keeping plastic tubs behind those decorative doors.