In asking about jumps, I take it this is a concern to you...
I'm an aerial photographer, and am happy to hang half out of an aircraft at 2,000' on a slightly dodgy harness on a rope held by a chum, but until quite recently terrified if 15' up a ladder !
The fear of heights DOES wear off, and anway if one thinks about it, jumping ( with a parachute ) from an aircraft at height should be fine, wheras falling off a ladder etc might result in nasty long term injuries.
My advice, for what it's worth, would be to get as much time as poss' as passenger ( or ideally trainee pilot but not necessary for this ) in light aircraft.
One finds the height becomes abstract, and just a good vantage point.
If vertigo affects your balance, that's a different thing and needs a good check of the ears.
Don't be put off by this, and Good Luck,
DZ