For me so far, RCing gives me awareness. In dreams that I haven't done any RC, my lucidity is weak, easy to lose, and I don't have much control. When I remember, I do a couple of RCs (personally, I always do the nose-pinch and count my fingers, in case one fails) and I put all my attention to it. When I'm done, I take a moment to think of what being lucid means, like the fact that nothing can hurt you and you can confront violent dream characters and make friends with them, if you find yourself being attacked. This alone works quite well for me. To add extra vividness, I normally say the phrase "clarity now" aloud a couple of times. I once heard it worked, and for me it does. Other people say touching things helps them get anchored in the dream, but I haven't tried this.

Well, I don't know that much about stabilisation, but if I were you I would start with something like this and see if it goes well. The more aware you manage to be, the higher the level of lucidity.