Wash, pit, and dice the peaches. In a saucepan, combine diced peaches with granulated sugar, water, and lemon juice. Simmer over medium heat, stirring occasionally for 10-15 minutes until soft.

Remove from heat, mash the peach mixture until smooth, strain through a sieve, and allow to cool completely.

In another saucepan, combine sugar and water over medium heat. Stir until sugar dissolves and mixture is clear, about 3-5 minutes. Cool completely.

Juice lemons to yield about 1.5 cups of fresh juice; strain to remove seeds. Combine lemon juice with cooled simple syrup in a pitcher.

Mix the cooled peach puree into the lemonade base and stir in cold water gradually, tasting to reach desired flavor.

Refrigerate for at least 30 minutes to meld flavors. Serve over ice and garnish with peach slices, lemon wheels, and mint.