It's not as easy getting work done on a guitar here as one might think, even given the high density of pro classical guitarists per square mile. As often as not I've had to ship my guitars out of state to get them tweaked. However, Mike Peters is a talented luthier who has a shop in El Segundo, and he has done some great work for me (he French polished a new Antonio Marin for me just a month after I bought it when the original polish started smearing like molten wax). I know he has also done work on high-end vintage instruments in private collections in LA. He's a sharp guy who knows what he's doing, and I was once told by the owners of Trilogy that they also use him for repair work. You can find him through his website: petersguitars dot com.
German Rubio would be an excellent choice if it were a vintage or expensive instrument. Rubio is second to none in luthiery.
Don't even try McCabe's. It's a great store, but their guitar repair department seems chronically overwhelmed. I've been turned down there for the simplest guitar tweaks for the last 15 years, even for cheap guitars that I purchased there LOL! They'll probably refer you to another repairman in Culver City, some guy named Larry, and his outgoing message for the last decade has been 'Hi, this is Larry and I'm not taking any more guitar repairs right now'.
I just had a re-fret job done on my Hippner Torres and ended up having to send it to St. Louis to get it done.