The phrase "big bin" refers to a large container or storage space used for holding or collecting a significant amount of objects or waste materials. Full definition
• Bags: Most wall - mounted garage organization systems include clamp - on mesh bags that make it easy to store soccer balls, basketballs, tennis balls etc. • Boxes & bins: Group irregular items and stash them in big bins on casters so you can roll them under a shelving unit or work table. (styleathome.com)
This means not only staying away from buying a bigger bag, but also avoiding beans from big bins and barrels that often sit for awhile before purchase, losing their aroma and flavor in the process. (epicurious.com)
If they prefer to line up big bins together, they can do that if they please. (babyishcare.com)