I think a set of stainless mixing bowls would work. They have more than one use and nest for easy storage. Some aluminum mixing bowls (or basins) are so large that they can cover a number of dishes at once. Or a collander could be used to allow steam to escape.
I think the covers are fancy, of course. Probably don’t have room for those in particular. I always liked the gag where the big fancy cover was removed, with a flourish, to reveal one little pea, or something silly.
