Individual evaualtio. It depends on ahe, skin color, and degree of damage. A light glycoluc or salicylic acid peel i'll refresh skin but relieve severe damage. A medium peel is more effective such as vipeel. For wrinkles around mouth fractionated laser would be better choice.
Peel for aging skin. Ultimately the peel recommended is based on your skin type, skin color, extent of aging evident in your skin and how much of an improvement you desire over a set period of time. I presume that since you are asking about peels, this modality is what you prefer. If you are new to peels I suggest a vitalize peel or similar. You can advance to a stronger peel like rejuvenize or other.