Simple 3D collisions/bounds checking

Anyone has experience with implementing some simple 3D collision/bounds checking? I have a simple scene where one can use the first person camera mode to walk around a floor with some rooms. I would like for the 'player' to not be able to walk through walls. Ideally I'd be able to use some simple mechanism based on the provided first person camera. I haven't spent much time thinking about the problem, and am mostly fishing for suggestions here. Maybe someone has already come up with a decent solution :D.
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