01 - Combine the peach slices and freshly squeezed lemon juice in a blender. Blend on high until completely smooth.
02 - Pour the puree through a fine mesh sieve into a large pitcher, pressing firmly with a spatula or spoon to extract as much liquid as possible. Discard the remaining solids.
03 - Add the granulated sugar to the pitcher and stir vigorously until fully dissolved.
04 - Pour in the cold water along with the sparkling water or club soda if using. Stir well to combine all ingredients evenly.
05 - Taste the lemonade and adjust sweetness or acidity as needed, adding more sugar or lemon juice to your preference.
06 - Fill serving glasses generously with ice cubes. Pour the peach lemonade over the ice and garnish each glass with fresh peach slices, lemon wheels, and mint leaves. Serve immediately.