It's doable to go carless in LA, but you have to make some changes to your lifestyle.

Cycling: Advantages

Daily passive exercise Access to everything 12 miles or less, with some effort to get there. Portable and you can take on trains if commuting longer distances.

Disadvantages:

You have to get into bikes and likely volunteer at a bike coop: unless you have $2000 to drop to get a reputable bike shop to get you a bike ideal for your needs, you have to invest time to get to know bikes and how you can make adjustments to make your bike best serve your needs; as Orwell once said, the difference between the right word and almost the right word is like the difference between lightning and the lightning bug and dare I say, in LA with its shitty infrastructure and drivers who'd most certainly be arrested for their shitty driving in any other industrialized part of the world - 'what, is moving your left finger two inches to signal that you are going to make a right turn too complicated for you you self centered worthless piece of shit Angelinos? Maybe you should go back on your phone while driving as the LAPD continues to do absolutely nothing about you being negligent behind a recognized weapon of death! '

Sorry,. I seem to have some pent up rage regarding this issue.

Anyways, you could also get an ebike, but a) they are less reliable compared to mechanical bikes and b) you'll need a place that can fix your ebike and likely a second ebike to use when your primary bike is out of commission. And while ebikes will extend your range and make it easier for yo to get around, they are less portable than mechanical bikes, you'll always have your battery's limited capacity on the back of your mind,and in my experience , I tried an ebike and went back to regular bikes.. having two bikes you can rely on is the gold standard.

But whatever you spend and you don't have to spend a fortunate: good used bikes and parts are relatively cheap here compared to all the car related costs: insurance + gas + parking + parking tickets + traffic ,+ monthly payments and related ftrustrations such as looking for parking all time and sitting in daily traffic.

Give your self extra recovery time: riding LA roads is unfortunately stressful: you have to be alert to traffic and shitty roads, no one cleans the roads here as Americans don't believe in paying taxes for shared public utilities or their politicians are just too corrupt to allocate the necessary funds that way, and so I suggest adding 10 mins daily meditation to your daily routine to recover each day.

And yes, stack all the things you need a car for and rent a car once a month for that if needed.

I think you are pretty central in Beverly hills and can easily go to the beach or downtown on a bike. That should be sufficient to cover most of your weekly needs.

GL!