How should I best prevent cavities?

Since I was young, I have had more cavities than others. So there are no places I haven't filled here and there. Still, I haven't had all my teeth extracted completely, and many areas are only partially filled, so I want to start managing my cavities better now. If I think about it simply, brushing well and not eating too many sweet foods seem to be the way, but is there anything else I should pay more attention to? I want to maintain a healthy life with my teeth for a long time, so I am really going to work hard on cavity prevention and care from now on.