Los Angeles is not one market. A headshot in Burbank, a branding session in Silver Lake and an engagement shoot at El Matador are three different cities with three different hours, and the thing that decides what is possible in a session is not the camera but the 405. A two-location booking here means choosing two places within about twenty minutes of each other, and a photographer who knows which twenty minutes.
The permit picture is unusually clear for a city this size, because FilmLA administers it for both the City and the County and publishes its rates. Still photography on public property needs a permit. The exceptions worth knowing are that many of the most-photographed locations are not city property at all — state beaches answer to California State Parks, the Getty and the Walt Disney Concert Hall are private, and Griffith Observatory has its own rules on top of the Department of Recreation and Parks.
What the city gives you in exchange is reliability. From May to October there is essentially no weather, the marine layer burns off on a schedule you can plan around, and the sun sets over water every single evening.