Clearly, just a quick look around this site and others like it, Dominance and submission mean different things to different folks! This is not a "one size fits all" proposition.
Some just use the D/s dynamic for games. Some, only in the bedroom. Some of us, however, fully submit to the Right Dominant, but not just anyone. And Dominants each have their own style and expectations. Explore!
There is just as much involved in finding the right Dom/me or sub as there is in finding a mate in the "vanilla" world. Not just anyone will do. It takes a great deal of communication, honesty, and knowledge of yourself, it seems to me, to find the "fairytale," whether it's part time, bedroom only, or 24/7. One of the first questions most Doms have asked me, is "What are you looking for?" It's vital to figure out your personal answer because if you don't know what you're looking for, how will you know if you found Him/Her?