I’d just say “the work I do here” and leave it at that. If I had to pick, though, I would say that “on” is correct. It just sounds better, ER aside. If you threw out every preposition based on its inclusion in a TV teaser, you would pretty much be limited to “whereby” and “thusly.” Well, maybe “the work I do herein” would work.
PS – good luck on the Big Question; I’m sure it will work out.