In order to get a camera to follow your object, and always look at it, you have two options, depending on the type of camera you're using.
First off, create the object that you want your camerat to follow around...done that? You can even use a dummy object, so that when you render your animation, it won't show up and all you'll see if your camera moving around on it's own, looking in all kinds a' places.
Next, your camera. Under CREATE (see, it's not so hard), you can create either a Target or Free Camera, it really doesn't matter which. Either way, your first step is to link the camera to your object with the SELECT AND LINK button up on the main toolbar (it's the one that looks like two boxes with a chain between them). This will bind your camera to your object, and it will follow it wherever it goes...but it won't always look at it, it'll always look either at it's target (if it's a target camera), or on the original heading you put it on (if it's a free camera). There are other techniques to get it to always look at your object as well.
If you're using a targeted camera, the way to get the camera to always look at your object is to simply select your taget, move it to roughly the centre of your object, and do the SELECT AND LINK trick again, this time linking the target to your object.
If you're using a free camera, then in order to always have the camera looking at your object, you need to go to the MOTION tab on the command panel, select your camera so you can edit it's motion properties, and select ROTATION. Just above this little window is an icon of a green triangle with an arrow. After you've left clicked on ROTATION, clikc this button to define a new controller for rotation. Select Look At Controller. Then, after you click OK obviously, click on the new button below the window that says SELECT OBJECT, then click on your object. Et Voila! Done!
You may need to rotate your camera in order to get it orientated the way you want (it has a habit of turning upside-down), but, largley, you're done.
