A set of nestable and stackable cookware, for example, a set of pots and pans, is maintained in a stable configuration by stops attached to the outer walls of the cookware. Each stacked and nested item of cookware is supported on the rim of the lower item by two stops attached to its outer wall, on opposite sides of the item, so that the wall and base of the item is not contacting the lower item. Either or both of the stops include a handle extending outwardly from the stop.