1-First, peel and pit the peaches to prepare them for cooking, which helps release their natural juices.

2-Next, in a medium saucepan, combine the peach pieces, sugar, and water.

3-Then, bring the mixture to a boil over medium heat, mashing the peaches against the side of the pan to release flavors.

4-After that, simmer for 5 minutes, then remove from heat and cover, letting it rest for 30 minutes.

5-Now, for a clear syrup, strain the mixture through a fine-mesh strainer into a container; optionally, add some fruit back in.

6-For a thicker syrup, blend the mixture using a blender or immersion blender.

7-Finally, store the syrup tightly covered in the refrigerator and use within 1 week, while considering dietary swaps like natural sweeteners for a low-calorie version.