one problem with animating camera cuts reverts back to 'thinking like a filmmaker' like you were talking about...

when you think about camera cuts, you want to keep the motion similar, which is called 'cutting to continuity'.

basically, a handy tip to keep in mind is that when you're cutting from further away (from the action) to closer up, you want to shave off a few frames (only like 3-4, unless you're animating at 15fps, then 2-3)of the animation. if you're changing camera angle from closer up to farther away, you want to repeat a few frames from the new angle. in order to do these kinds of things, you'll want to render out two times from different cameras (for the few-frame overlap) to ensure you get enough coverage... so keying camera cuts isn't always a great idea.

one extra tip to keep in mind is DO NOT move your camera too much. just because you can rotate it and dolly in/out and pan around freely with your camera doesn't mean you should. it might look cool to you, but it's more than likely only distracting to your audience. think about your subject. are you revealing something about it? is it going somewhere you can't see in frame? if so, then moving the camera MIGHT be ok... but not always necessarily so.