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