Best to you all. I've posted before that Los Angeles is not a real RV friendly city. Near Beverly Hills you have Malibu RV on Pacific Coast Highway. Traffic for anyone not accustomed to huge city traffic is horrific. To the east two nice parks are Travel Village RV in Valencia and Castaic Lake RV. Both are near Magic Mountain, both are nice however it will be at least a 45 minute drive to Beverly hills, and in rush hour(s) it could take 2 hours of really heavy traffic. I used to joke that I could read the newspaper of while driving...the paper was in the car next to me being read by that driver!! There are many areas surrounding Beverly Hills, such as Westwood, West LA, Hollywood, Hollywood Hills, Santa Monica, etc. The whole are is really just one huge metropolis. Ask the clinic if they contract with appropriate housing. You can also call UCLA Medical Center and ask about available family housing. There are countless hotels in the area, many will offer special prices for medical stays (I know we were offered such a courtesy when staying at UC Davis in Northern California). I don't live on that side of the hill but I still have a few contacts who have to work or live in that area. If you get a recommendation and want the location checked out feel free to PM me.
Best to you all. I do know that the Julies Stein Clinic at UCLA and the associated medical facilities are world renown for eye care.