Bumping an "oldie" but goodie since the to/fro LAX transportation issue discussed here is a perennial PITA (once you learn LA, you'll understand why I laughed out loud when I read "Is it better to . . . take the bus/subway to the hotel"). Just like "There's no basement at the Alamo," there's no direct, simple subway or public bus route from LAX to WeHo.
I recommend Uber to get around, including getting to the airport. As far as Uber from LAX is concerned: The approval process is taking longer than anticipated when it was announced earlier this year that any Uber would finally be able to pick you up at LAX (and not just vehicles with the additional insurance/TCP license). The terminal area and surrounding vicinity is still a blackout zone on the Uber app. So the workaround is to take a (free) rental car company shuttle to their location, almost all of which are about five to eight minutes away from the airport proper. Then you'll see Uber Xs populate all around you in the app. I just did this returning from my recent NYC trip. Easy, fast and less expensive than the damn taxis.