If you're suited for the specific peel: Mild to medium peels work well for people who have mild skin concerns or imperfections that they need to treat since the aesthetician can adjust the chemical composition to best suit their needs. Deep peels are suited for more medical conditions like sun damage or extensive aging.
You're willing to go through multiple treatments: Except for deep peels, chemical peels aren't a permanent solution. If you want to keep the results from your chemical peels consistent throughout your life, you should be prepared to commit time and effort to keep up with a chemical peel schedule.