It might actually be the left-hand rule for motors, but you can switch between the two hands easily enough as long as you get the point that motion, magnetic current and electric field point in the three different directions (up/ out/ left), and stay in a fixed orientation with respect to each other. So, for example, hold your right (or left) hand out with the thumb pointing upwards, first finger pointing away from you and second finger pointing to your left (or right). The magnetic field is your first finger and, depending on convention, the thumb is motion and the second finger is electric current. To change the direction of the current, turn your hand upside-down. The magnetic field is still pointing in the same way, but as the current changes direction so does the motion.