I am getting wrinkles around my eyes when I smile that I dislike! Any suggestions? Perhaps Botox? (Photo)

You may benefit from a treatment to improve the fine skin around the eye such as a radio frequency treatment as well as dermal fillers under the eye to soften up the creases.  Botox may not necessarily resolve your issue but will help the fine lines around the eye.!

It looks like the lines in your photo are mostly under the eye rather than at the outside corners (crow's feet).  Botox is wonderful for crow's feet, though does require maintenance usually every 3-6 months.  The lines UNDER the eyes can be due to the character of the lower eyelid skin, something more difficult to treat.  I would recommend going to a plastic surgeon and having him or her evaluate your skin there to see if a topical skin care treatment regimen may help (such as a medical grade skin care regimen like Obagi or ZO or Jan Marini, for example) or if something more invasive like filler injections or even surgery may be more helpful for you.