If having a "V" dipping bar, than different hand spacing is possible. Changing the width/grip of a dip can make quite a difference for most. A closer hand spacing will affect the triceps strongly (more if the body is held at a 180 degree angle) A middle to wider spacing, the triceps/pecs/delts, the elbows being out more. Lean forward and the pec's & delts are worked hard. (the great Marvin Eder was reported to have done 400+ in a some what closer grip).
Personal injection; I have always liked the dip, over the bench, as an upper mass and strength builder. The push/press is down and along the body, which seems to give less stress on the joints/muscles involved.
Parallel works for most guy's. Though the benefit of a full stretch, for BB'ers, will be missing. Most mass freaks don't care about that, and even quarter reps are popular. Another version is with the knuckles facing somewhat inward. Either version is not for everyone, so let caution may be the guide if trying these out for yourself. Lot of stress on the elbows/forearms/wrist. All including the shoulder girdle. Good Luck.