Just to sum up your exposure modes:
P: Camera sets both aperture and shutter speed. You have the option to do one or both of the following overrides:
1. Move the camera's target exposure away from optimum (over/under expose).
2. Adjust the combination of aperture/shutter speed: say double the exposure and half the aperture.
For hassle free exposures in everyday situations, espeicially where you have to shoot fast, this is a good way to go.
Av: You set aperture, camera sets shutter speed. (Options sim. to P)
Use this mode where you want a specific aperture.
Tv: You set shutter speed, camera sets aperture. (Options sim. to P)
Use this mode where you want a specific shutter.
M: You set both shutter speed and aperture. Camera shows a bar-and-pointer display of how your current settings compare to optimum exposure.
Manual mode can give you ultimate control, or can be very frustrating, depending on circumstance. If your lighting is fairly constant, and you're not rushed (your subject is not going to take off on you), and you are getting frustrated by the camera's errant exposure assessments, then setting the exposure manually, metering on what's important, taking a few test shots, adjusting, is going to give *you* ultimate control.
You also have options for *how* the camera determines exposure:
Evaluative: Supposedly the "smartest", assesses the whole scene. One drawback, it locks exposure at time of assesment (shutter half-depressed), so if you pan, it could be way off.
Center-weighted: Considers most of the frame, with preference for the center, and ajusts as you pan. This is what I use mostly. I don't like the way evaluative locks, so use this as a consequence. I do wish Evaluative had the option to turn off locking.
Partial: A "fat" spot meter, similar to above.
Finally, you can shift the overall light sensitivity of the camera, regardless of the metering mode, by adjusting the "ISO" setting. I don't remember (or really care) what this stands for. In essence it behaves like choosing fast vs slow film. A higher ISO number will make your camera more light sensitive, with downside of increased "noise" in your pictures. I find 400 a good compromise for most situations.
Bottom line: Go through the manual, trying everything with your camera. Practice, practice. FWIW, that's where I'm at: I'm by no means comfortable with all the controls yet.