A mechanism for holding and moving a plurality of containers includes a carousel configured to be rotatable about a vertically-oriented axis of rotation, and the carousel includes a plurality of container-holding pockets arranged circumferentially around an outer periphery of the carousel. Each container includes a vertically-oriented groove formed on each of opposed sides of the container. Each container-holding pocket is open at the outer periphery of the carousel to permit a container to be withdrawn out of the pocket in a radial direction with respect to the axis of rotation, and each container-holding pocket includes retention clips configured to engage the grooves formed on the container to removably retain the container within the container pocket.