I have never done CD only LL but I would recommend LL as you really do get a lot of support from your councilor and you meet some amazing people in group. I now have some great friends due to LL. We have a monthly night out doing all sorts of things from salsa dancing to theatre trips and belly dancing, it really is great. Quite a lot of this is down to my LLC as well as she organises it all. It all depends what you are looking for in the diet. Personally, I think if you want life long success then LL is the answer. But which ever diet you choose, you do have to have 100% commitment or it will not work at all.
Good luck in your decision x