How do you direct the camera in your game?

I am working on a game which is set like a Diablo game. I already have implemented a simple camera follow with `+offset` values for the camera and so forth. But I would like to add a hovering-effect to the camera **while it is following** the player. Of course I could do it by code, but I would like to animate the camera in with the animation tool and somehow merge it with the follow-script. How do you usually combine these two elements?