The recommendation to go to the PGCA site is seconded here. The members there know several excellent Parker gunsmiths that would be close to you. Additionally for damascus or twist barrels to be re-browned (or re-blacked to black & white) in the Parker style, there are a few barrel restorers that still do this. One is Dale Edmonds in Kansas City who has a DH Parker of mine that he is restoring the barrels.
Having said that, those barrels look outstanding, particularly if they are still original. I'm not so sure that you need to do anything to them.