A cutting electrode head for a handheld electrical discharge machining (EDM) device comprising: a housing; a cutting electrode supported in the housing, and configured to move from a retracted position to an extended position along an electrode axis (C) to cut a workpiece; and an actuator supported in the housing and movable along a movement axis (E) which is at an angle to the electrode axis (C), wherein movement of the actuator along the movement axis (E) causes the cutting electrode to move between its retracted and extended positions.