Disclosed herein are catheter control handles that include various mechanisms for controlling the circumferential angle and radial magnitude of flexion of an attached catheter. Control handles can comprise a housing. Control wires extend from a distal end of the housing and into a steerable transluminal device. A flex control member is operable to control tension on the pull wires to adjust a magnitude of radial flexion of the steerable transluminal device. A position control member is operable to control tension on the pull wires to adjust a circumferential angle in which the radial flexion of the steerable transluminal device is directed.