A vacuum container and/or pump system may include a rounded rectangular base container with opening at a top to receive foodstuffs, adapted with an edge; an optional cover having at least two locking latches adapted to couple to the edge, the cover to close the opening of the container, the cover including: a circular vacuum tubular opening forming a cylindrical hole through the cover, and a cross-shaped notch on the inner cross-section of the tube, through which at least a portion of a plug is received and disposed when evacuating air, and optionally the cover may include a spinner, chopper, and/or twist/lock cap (coupling plug to container) to prevent loss of vacuum of the container (when cap has been twisted in locked position). A vacuum bag may include an opening; resealable fastener; hole for evacuating air with pump; cap for covering hole; and removable clip for easing closure.