A pullout storage structure for a bathroom cabinet, such as a vanity or medicine cabinet, has a hinge linkage for moving a storage unit between an opened and a closed position such that the storage unit travels an arcuate path and maintains its orientation. Smooth and easy movement of the pullout storage structure is facilitated by an over-center assist member. The assist member tends to close, and keep closed, as well as open, and keep open, the pullout structure.