Just to add to the already great advice, if you want to maintain exposure on your subject, simply place them in the centre of the frame with your metering mode set to spot and take a photograph in aperture priority mode, at your desired aperture. Look at the EXIF data and make a note of the corresponding shutter speed that was used by the camera. Then put the camera into manual mode and dial in the same exposure triangle variables (shutter, aperture, iso).
Providing the light source is constant (a lamp as opposed to sunlight which changes throughout the day), and your subject doesn't move nearer or further to it (inverse square law), your exposure will remain the same regardless of your position/framing (well apart from maybe some lens vignetting). I tend to move the focus point onto my subjects eye if possible, rather than focusing and recomposing. As I tend to work at reasonably close distances and like to maintain a shallow DOF in many of my shots, focusing and recomposing can result in OOF shots.
Failing that, I tripod mount and use live view mode and focus with that, to ensure accurate results. Depending on what and how you're shooting, this isn't always possible, as it's a slightly more long winded process. If you do have the time though, it should ensure the sharp images and won't have you swearing at the monitor when you transfer the RAW files to the PC and discover how many are destined for the recycle bin because the focus is off.