From my experience i would recommend weaning off pretty slowly and learning new coping skills before you start to wean off of them. I would suggest learning Cbt with a therapist, group or on your own. The book we used in my group Been There, Done That? DO THIS! by Sam Obitz was written by someone from UCLA and recommends a program there so if you are still at UCLA I would look into that. As far as your question about
losing weight I didn't lose much if any until I was completely off of my AD's but now I am back at my prior weight and it only took me a few months to get back down again but I imagine it is different for everyone.