I personally think that CD can be adapted more to your lifestyle than LL.
I'm now on CD SS+ after doing LL and loving it to bits! I have a small meal - with real food - in the evening, and have still been losing a lot of weight consistently. Also, on CD plans with food, it's like starting management even before you reach your weight goal, so you learn to deal with food from the word go. I don't see food as my biggest enemy anymore, like I did on LL.
The trick is finding a good CDC. I've been lucky because I've found a fabulous lady who offers me real counselling - on a one to one basis - using a mixture of NLP and CBT. This is not something that CDCs are necessarily taught, so it can be a bit hit-and-miss. Although I learnt a lot on the LL counselling sessions, for me they were more like going to a class than real counselling. But this is all subjective and dependent on your LLC and group. So, whatever diet you go on, I'd suggest doing your research first and speaking to a few counsellors before making a decision.
Food-wise, some LL packs can taste better and mix better; however, on CD you get a lot more choice, plus the ready-mixed tetrabriks. You also get things like Mix-a-Mousse, which makes a yummy mousse.
A tough decision for you, but whatever you decide the weight will just drop off you - fast!