The right upper eyelid is more droopy then the left but if the right side is fixed without attention to the left side, after surgery, the left upper eyelid will look to heavy. This is known a Herring's law ptosis. One of the posters here suggests a Mueller's muscle conjunctival resection ptosis surgery. This is a very popular surgery with eyelid surgeons but it has a high of only partially addressing the upper eyelid ptosis. It also will not address another issue that you have which is upper eyelid lash ptosis. You have no support in the eyelid for the upper eyelid lashes. An anterior approach, levator resection ptosis surgery will create the opportunity to correct the ptosis and also address the upper eyelid lash ptosis with an anchor blepharoplasty. I recommend getting the right surgery the first time. Also, in my opinion, most people benefit from light intravenous sedation rather than just having the procedure under local anesthesia.