When we moved to LA’s west side, we aimed at Santa Monica, but were priced out. After spending some time in the area and discovered a hidden gem in Culver City. I am sure that people in Pasadena, Santa Clarita and other areas have no idea what a find Cuvler City is. But ask anybody who lives/works on the west side of LA and they know.
The main problem for you is that $675 k would have given you plenmty of options 12 months ago. Not so much now.
Regardless of where you choose. Make sure to rent in the area first. Local traffic patterns have a huge impact on lifestyle. Speaking from personal experience… you could live 15 miles from work and have a reaosnable 25-minute commute. Or you could live 6 miles from work and have it regularly take 40-45 minutes.