The invention is a transporter for moving a rolltainer, a trolley, and various other multi-wheeled containers that roll on a surface. The transporter utilizes lever-assisted rotating forks to lift and position the container to provide maximum traction, stability, and safety. The transporter utilizes hub motors for increased maneuverability and to eliminate drivetrain elements. The transporter is configured to keep transporter structure between the operator and the load during al operative modes to maximize operator safety.