I would get comfortable w/ doubles before you start cave/cavern training. You can train without them, but I wouldn't feel comfortable in a cave with a single. As long as you have a good and safe attitude, good situational awareness, good buddy awareness, and really good skills you should not have a problem. But the more comfort you have w/ the equipment, the better off you will be. You will have enough new skills and task-loading on your mind, no use in struggling w/ new equipment as well. I would sign up for a cavern/basic cave course and see how it goes. Even if you decide cave diving is not for you, you will definitely walk away a much better diver. I did my Basic w/ Jim Wyatt (a couple of posts up) and would definitely recommend him.