since you have a family / are married, I would move to Pasadena, Culver or Santa Monica: all 3 are mostly middle to upper middle class and even for being predominately white have a good amount of POC.

Also look into Eagle Rock, but it may be a bit out your price range if you're looking to BUY a house.

and if your boys lived in NoHo years ago, it's even nicer now then it was when they moved there, but if you work anywhere that is not those places YOU WILL BE in traffic

school system is fucked. It's enormous and if you want a good public school you gunna have to be in a middle class area, even though some South LA area schools have been doing some great work to get things turned around in terms of quality of ed and social environment. that, or you are going to the Charters, more than likely Alliance, which cater to many of the non-white working class communities of color

all this talk of how white or black LA is has some merit, but LA is MEXICAN. Not Latino in the central american way as it is on the east or even the Bay, but Mexican. It's def part of the pulse of the city

lastly, the arts and music scene is AWESOME in LA