Hmm....everyone seems to wan't to make 3d games today!

I'm going to make a 3D game and I was wondering how I should do this. I need to know how to move the camera around the generated objects and within the playing area. I need to know this information to be able to make the engine for this game.

Well, my expertise (or lack thereof) applies only to DirectX but the general ideas are pretty constant across. Camera manipulation is done by creating view transformations tell the API to move or reorientate it. If you don't understand transformations, scaling, etc. you might want take a trip into the 3d theory section on this site. They play a big part of 3d and you should understand the math and ideas behind them. If you do understand all that stuff, MS's implementation (assuming you are using DirectX IM) of view transforms is pretty easy to grasp in their docs.