If you don’t already have them, saddle, bridle, lunge line, lunge ring (ring that attaches to the saddle to pass the lunge line through), dressage whip.  Inquire for specific details. I don’t use any other training equipment mostly because gadgets encourage bad kinematics and because I love simplicity and hate wasting money. If you don't have a saddle, talk to me about saddles. Some styles are going to cause problems.