A bracket assembly for detachably retaining a body-carried device such as a self-contained breathing apparatus (SCBA) is provided with strap-supporting arms for holding the shoulder straps of the device in a ready-to-wear position. At least a portion of each arm is movable from a generally horizontal, load-bearing or “working” position to a generally vertical, out-of-the-way or “rest” position. A spring or other resilient member urges the movable portion of each arm to the rest position, so the arms do not present a safety hazard to personnel in the area after the body-carried device has been removed from the bracket assembly.