A steerable catheter or sheath includes a catheter or sheath body defining a longitudinal axis first and second actuation wires extending from a proximal end of the body and a control handle coupled to the body for steering a distal end of the body. The control handle includes a grip portion including a pivot a wire diverting assembly located on the grip portion at a location separate from the pivot and an actuator assembly coupled to the pivot and configured for pivotal movement in a single plane. The wire diverting assembly can include first and second actuation wire connection locations that are disposed on opposite sides of the longitudinal axis. The first and second actuation wires can extend toward the wire diverting assembly in a first orientation, and the wire diverting assembly can change the first orientation to a second orientation that is at an angle to the first orientation.