01 - Combine the sliced peaches, freshly squeezed lemon juice, and granulated sugar in a blender. Process on high until completely smooth and no chunks remain.
02 - Pour the blended peach-lemon mixture through a fine mesh strainer into a large pitcher. Press firmly with the back of a spoon to extract maximum liquid. Discard the retained solids.
03 - Add the cold water to the pitcher and stir thoroughly until the mixture is fully incorporated and consistent throughout.
04 - Taste the lemonade and adjust sweetness by adding more sugar if desired. Refrigerate for at least 30 minutes to allow the flavors to meld and develop.
05 - Fill serving glasses generously with ice cubes. Pour the chilled peach lemonade over the ice and garnish each glass with fresh peach slices, lemon wheels, and mint leaves as desired.