presentation!! sounds crazy but i made one to lease my first horse! make sure they know how much time you put into it and do research on all the specifics (where you want to ride, all the costs, options of leases in the area, pictures are always good, etc) of what you want to lease/buy. then have your parents sit down and spend a good 30 mins going through the presentation. make sure everything is out in the open and all the facts are out there. good luck!!
No but I'm trying the same thing