How Should I Convince My Parents To Let Me Go To Boarding School?

I really want to go to boarding school. I hear it is an amazing experience. I think it will help my grades to be the best they can be. I have narrowed down my choices to the Grier School, the Maderia School, and the Foxcroft School. My father is very wealthy, so money is not a problem. I just can't think of a way to ask them. Also, if you know of any other good boarding schools that are all-girls or coed post those too. Thanks!