Zone vs. Man to Man Defense

Can someone help me understand the pros/cons of using a Zone defense vs. a Man-to-Man defense? My team utilizes both, but is there a certain types of teams or offenses that you would be better to use zone and others you'd be better for man-to-man?
Also, if you use a zone defense, then can you still use the press defense as well? Maybe I'm wrong, but I thought press (full court, half court, etc.) was generally more man-to-man play, so how would this work if you are using a zone defense?
Also, if you use a zone defense, then can you still use the press defense as well? Maybe I'm wrong, but I thought press (full court, half court, etc.) was generally more man-to-man play, so how would this work if you are using a zone defense?