Hi. The answer to this depends on what your specific concerns with your eyelids are, whether you are willing to have surgery with downtime and potential risks, how much improvement your want, your age, and many other factors. Eyelid surgery is a simple office procedure, but does have some downtime. Thermage is a simple office procedure with over 90% of patients having a visible difference and there is no downtime - you can work the next day. Have a look at the gallery of photos on the link below as a comparisonof the techniques. The best thing is to consult a Board Certified Plastic Surgeon in your area who offers both treatments, who can discuss things with you.Regards Dr Charles Cope
A better history from you and further information is needed. We do not know what your goals are. Your pictures shows in my opinion low eyebrows, possibly excess upper eyelid skin. The lower eyelids have some bowing laterally and scleral show which may be a result of prior surgery. See a board certified surgeon for consultation and update us on your progress please.