A chemical peel is a generic term for using an acid to remove the upper layers of the skin, causing the skin to become smoother, tighter, more radiant, and less wrinkly than it was. Chemical peels come in all different types, from the mild lunchtime peels to the deep phenol peels. The more aggressive the peel, the longer the recovery and the more impressive the results.
If you’d like something mild, a lunchtime peel like the famous Micropeel by Skinceuticals could be up your alley. If you are looking for a bit more change, then a 2-3 day downtime peel like a Jessner’s Peel or the ZO 3 Step Peel could be reasonable options for you. For a greater change with more downtime, you may want to consider a moderate depth TCA peel such as the ZO Controlled Depth Peel.
I don’t recommend deeper peels due to the potential risk of scarring and permanent changes in pigmentation of your skin. I also caution you on undergoing the Phenol Peel due to its potentially cardiotoxic effects. If you have that peel done, make sure your doctor is VERY experienced with it.