01 - In a blender, combine the sliced peaches and freshly squeezed lemon juice. Blend on high until completely smooth and no chunks remain.
02 - Pour the peach-lemon puree through a fine mesh sieve into a large pitcher. Press firmly with the back of a spoon to extract as much liquid as possible. Discard the retained solids.
03 - Add the granulated sugar to the pitcher and stir thoroughly until fully dissolved into the peach-lemon mixture.
04 - Pour in the cold water along with the sparkling water or club soda if using. Stir well to fully combine all the ingredients.
05 - Taste the lemonade and adjust the sweetness or acidity as needed by adding more sugar or lemon juice to suit your preference.
06 - Fill serving glasses with ice cubes. Pour the peach lemonade over the ice and garnish each glass with peach slices, lemon wheels, and fresh mint leaves. Serve immediately.