Not a big fan of the LA area, though that is the southern CA mecha for activity. Universal Studio tours is a big highlight of the area. I can't speak for the best places to eat since, again, I don't frequent the area enough. BUT, if you 2 like prime rib, you can't be a night at Lowrys. BEST prime rib you'll ever taste. I think staying in the Northern/Northwest areas of LA is likely safer and more interesting. Avoid South & East, if you can. I hear great things about the Reagan Library, up in the far western portion of Simi Valley, which isn't that far from LA.
Just off the top of my head