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?

The follow script is setting the position of the camera every frame, so you if you had animation on it as well one would just simply overwrite the other. Your going to have to add some code to the follow script that tells it to take a certain amount of time to get to where it wants to be.