Abstract: Hitch-mounted carriers, including portable bicycle racks, are set forth herein. One carrier includes a height member, an insert arm coupled to height member for movement between storage and use configurations, and at least one support arm coupled to height member for movement between storage and use configurations. Means for coupling insert arm to a tow hitch, for locking insert arm at storage and use configurations, and for locking support arm(s) at storage and use configurations are included. Insert arm is configured for insertion in tow hitch and has a wedge aperture. An attaching element is coupled to support arm(s) for removably attaching a device to support arm(s). A wedge is adjacent wedge aperture, and means are included for moving wedge between a first position generally flush with or inside insert arm and a second position extending outside insert arm to dampen wobble between insert arm and tow hitch.