Blanching is a time-tested and super effective way to peel peaches. It doesn't take long, and is way better than mushing up your fresh fruit while trying to peel them.
Simply cut an "X" along the bottom of your peaches, just enough to pierce the skin, and drop them into a pot of boiling water for no more than ten seconds. This loosens the skin from the flesh of the peaches and makes them easier to peel. Take them out and dunk them into a bowl full of ice water. Using your hands, hold the peaches with the "X" up and gently peel away the skin starting from the "X". You should have perfectly peeled, non-smashed peaches in no time.