Apparatus and methods are disclosed for improved containers and lids, and combinations thereof. Multiple compartments are provided in a container, one of which can be formed as the container's handle. The lid incorporates a plurality of hinged openings situated on the periphery of the cover, and the container includes a molded unitary body plastic container comprised of at least two chambers or compartments. The lid openings can be located strategically over or adjacent the container chambers/compartments, to provide independent access thereto. The compartments or chambers within the container separate the contents thereof, while multiple hinged openings may allow access to individual or multiple chambers or compartments within the container. Tamper evidencing structures in conjunction with detents or engagement structures may hold the lid and container openings in the desired relationship during shipping, handling, storage, and/or use. Related methods are disclosed.