In my experience, the best free palmistry app is Palm Reader & Fortune Teller. Simply scan your palm, and let the app give you information about your health, personality, and relationships. It can also provide information about your future and what might be in store.
It offers an excellent 3-day free trial during which you’ll be able to get an unlimited number of palm readings. After your trial, it switches to a monthly subscription model. This is an excellent option if you’re looking to have your palm read regularly. I also recommend checking out Purple Garden, as it offers live readings and is pay-per-use if you don’t want a subscription.