Jack units attach skates to an object to be moved. Each jack unit has a tongue that slidably engages a coupling slot affixed to the object, and can be operated to raise or lower the tongue; when raised, the object is supported on the skates and can be rolled to a new location. A crane can attach to lift eyes on the jack units to allow the system to be lifted with the skates attached to the object, avoiding the risk to operators of positioning the skates under the object while it is suspended. Rotation-limiting structures can be selectively employed to block rotation of the trailing skates to facilitate steering when rolling the object supported by the system. The coupling slots can be provided in coupling elements which can attach directly to the object or which can be employed to form a freestanding frame to which the object is secured.