Abstract: A nestable container set is disclosed that provides for efficient storage, and safe, easy and convenient handling during use. Top-open containers can be nested in specific locations with respect to each other. Each container includes a nesting apparatus, allowing the containers to connect to each other. Preferred embodiment nesting apparatuses include ridged container top rims, ridged container sides, and ridged container bottoms. Containers can be snapped in place, pressed firmly in place, or fit snugly in place, with respect to each other. Containers can also be nested together through a tight packing system. Lids are provided for sealing containers shut, for storage, transportation, and/or use. Embodiments include containers with a variety of shapes and sizes, and made of materials of varying texture and rigidity. The invention offers advantages over the prior art in storage, transportation and use of the nestable containers.