Your eyes look tired primarily because of the drooping of your upper eyelids. This can be corrected surgically and should produce an excellent improvement.You also have some wrinkling and puffiness of the lower eyelids, but this would be more difficult to correct. Start with the upper eyelids - you can do more later if you need to.
By the photo posted it looks like you would do well with a lower blepharoplasty. Blepharoplasty or in other words eyelid lift can be used to treat problems such as saggy skin, excessive tissue and puffy under eye pouches. Please consult with an expert in this surgery. Sincerely, Dr. Rosenberg