Confusing version of "should I go to fat camp?"?

I'm 5'3" and 145 lbs. I know I'm not obese, but I would like to lose a good 20 pounds of fat, not muscle, and I'd still have a perfectly healthy BMI. I don't want to totally focus on weight, I want it to come off as I become HEALTHY. Here's the thing...I found these camps that aren't like traditional fat camps...they teach you important lifelong habits and skills to lose and maintain a healthy weight. They're called Wellspring camps. Now, I've been dealing with binge eating disorder since...well, ever since I can remember, and I DON'T want to keep living like this. I had about a year where I developed bulimia with anorexic tendencies. My dad and stepmom know, but my mom doesn't, as I think she's part of the reason I have such drastic emotional issues. Anyways, I really think this camp will help me, but I don't know what my parents will think, and I don't know if I'll be accepted by other girls, since I'm not really that large. I have plenty of larger friends, whom I get along with fine, and I've known them after they gained weight, it's not like we became friends before that factor. I'm just afraid that I'll end up being hated by the other girls though... what's your opinion, and what do you think I should tell my parents? The shortest camp possible would still be like $5000 and that's really expensive for us, especially since my schools pretty expensive as well.... I don't know what to do, and I guess that's why I'm here :) thanks in advance