How can i convince my parents?!?! pleasee helpp!!!?

Alright, so ive been riding since 4th grade. i started off at this really amazing barn called Tower Hill Stables. i really liked it, and i loved the lessons there! But after about 2 1/2 years, my parents didn't want to drive out there because it's a half hour away from where i live so i stared riding at a much closer barn that is only about 10 minutes away. It's very nice and a nice place, but i feel like the lessons are the same every week. I never really learn anything new, and i've been jumping the same height since i started riding there. I took a lesson at my old barn last weekend without my mom knowing (she dropped me off to hang out with a friend out there who shareboards a horse at that barn,) and it was amazing! i jumped much higher than usual, and i did a really nice job. The lesson was a lot of fun and i got help with what i needed and i got praised for what i did correctly or well. (ex. heals down, nice two point, things like that). While i was there, about 6 people told me i should switch back. I really want to, also. And my friend and her mom offered to carpool because they go out everyday. How can i convince my parents to let me go back to my old barn??