Ballhead:


simple workings, good support of weight, compactish. Kind of a pain to keep perfectly level and rotate unless you have a panning base (more $$), may become unscrewed from tripod if it lacks a locking feature.


Panhead:


independent movement of axis without throwing the others off, usually cheaper, good weigh support, best for video. Big annoying leavers, not as easy to operate as a simple ball head, harder to fine tune in a position.