Answer: Congratulations on seeing blooms on your peach tree. The flowers normally fade and fall off as they age, there is nothing you can do to prevent that.
Your tree might benefit from a routine fertilization program and possibly also on a routine preventive spray program. I would suggest you work with your local Cornell extension to run some basic soil tests and then based on the test results, determine how to fertilize the tree. They should also be able to help you with recommendations on sprays, both on what to use and on the best time to apply them.
In the meantime, here is some general information on care of peach trees.
Good luck with your peach tree!
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