Wash 3-4 ripe peaches, peel and slice them. In a saucepan, combine peach slices, 1 cup of water, and 1 cup of sugar. Heat for about 10 minutes, stirring until sugar dissolves and peaches soften. Simmer for an additional 5 minutes, then cool.

Cut 4-6 fresh lemons in half and squeeze into a citrus juicer for about 1 cup of juice. Strain through a fine-mesh sieve into a large pitcher.

Once the peach syrup has cooled, strain it into the pitcher with the lemon juice. Add 4 cups of cold water and stir gently until combined.

Taste the lemonade and adjust the sweetness as desired by adding more peach syrup or cold water.

Fill glasses with ice cubes, pour the lemonade over the ice, and garnish with peach slices and lemon wedges. Serve immediately.