You would orbit the sun most on Mercury. That would mean you would have "Mercurian years" faster than other planets. But this factor wouldn't affect the aging process. In fact, because you are ever so slightly closer to moving at relativistic speeds, you would age LESS on Mercury.
For the Gas Giants, it would depend on where on those gas giants you were located? At the cloud tops? In the core? Gravity plays a role in time dialtion as well.
Of course, the first answer stated it best, as you would not age at all on any of the planets that you would be dead on after a handful of minutes.
