Take 1 cup of the water and combine it with the 1 cup of sugar in a small saucepan. Heat up the water to just dissolve the sugar. Remove from the heat.

Add the sugar water, lemon juice, and 5 ½ cups of water in a 2 ½ quart pitcher. Stir well to combine. Note it's important to use water that you like the taste of. If you don't like the water from your tap, use filtered water.

Peel and slice the peaches. Add enough sugar to cover. I just use the same amount I would if I was just going to eat the peaches as is. Using a blender (I like an immersion blender for this) puree the peaches until they are a thick liquid. Now add the puree to the lemonade and stir to combine. Taste it and add more water or sugar based on your preference. Chill your lemonade and enjoy!