Peaches are one of the most luscious fruits on earth when they are freshly picked. You can grow them in your back yard if you live in an area with the right climate. Peaches need the cold months of winter to stratify the seeds and will do better in northern areas. You can buy the trees from a local garden center, but a more economical option is to grow a tree from a peach you eat.
Go to local farmer's market and find peaches that have been grown locally. Eat them and find which ones you think taste the best and save their seeds. The fruit from a seed will not be exactly like the fruit it came from since it was probably grown on a grafted tree, but your fruit will likely be very tasty nonetheless.
Open the hard, outer woody covering of the peach pit. There will be an almond-like seed inside. If you use a hammer, be careful not to crush the seed. You can also try to open the pit with a nutcracker. Throw away the outer covering and save the seeds.
Soak the seeds in cool water for a couple of hours to make sure they are all plumped up and then place them on a paper towel. Moisten the towel lightly. It should be damp, but not wet. Fold the paper towel around them and slide it into the plastic bag.
Close up the plastic bag and place it in the vegetable compartment of your refrigerator. Let it just hang out in there for about four months. After it has had enough cool time, it will just automatically germinate.
Check the seeds every few days after the four months and you will see tiny roots emerging from the bottom of the seed. Remove the seeds from the paper towel very carefully without damaging the roots.
Plant the sprouting seed in a planting pot filled with potting soil. Place the seed so that it is about an inch under the soil and pat the soil down gently. Water it only when the soil starts to dry out. It should grow quickly in a sunny window. Transplant it outside when the weather has warmed and the danger of frost has passed.