Welcome to the board, and to diving!
Since you're new, you may not know what DM is. If you have trouble keeping up with the acronyms, you can get a mouthful
here.
As for the CC or the LDS (Local Dive Shop - it's not on the list), talk to both instructors. Find out their background and get a feel for how they approach diving. Oh, and diving should be a continuing education, for as long as you're diving.
I prefer to travel with the place I feel
safest. Also, the more instruction, both classroom and shallow water or pool sessions the better, IMHO.
In any event, do not let money dictate your training. Diving is fun, relaxing, life changing and if not given the respect it deserves, life terminating. Say :idea: KN, I could use a grim reaper icon here.
Again, welcome to one of the best on-line diving communities on the net.