A container system is provided with a container having a door mounted for pivotal reciprocation about a door pivot axis between opened and closed positions. The container system also has a carrier with a body receiving the container and an arm coupled to the body for pivotal reciprocation about an arm pivot axis that is oriented substantially parallel to the door pivot axis. The arm engages the door of the container, and the pivotal reciprocation of the arm reciprocates the door of the container between the opened and closed positions.