A biomechanical word of caution: When doing dips it is tempting to exaggerate the range of motion, stretching the pectoral muscles and anterior deltoids. Avoid this at all costs unless your shoulders are made of titanium.
Although a full range of motion is desireable for most exercises, it can be overdone. Do not allow your elbows to clilmb past the plane of your shoulders. Bottoming out dips will nearly guarantee tendonitis or a rotator cup injury.
I know this because after two weeks of weighted dips, going as deep as possible, raising my right arm to do anything other than drink coffee was impossible.
Dips are actually safer and more beneficial than bench presses for gaining upper body size and strength so by all means do them. Just be smart about it.