Hi-
I'm in Woodland Hills. I can't remember exactly what the ordinance says but you're OK for chickens. OK for a rooster if you house him 100' from your neighbors. You can call Bob Blumenfield's office and they'll send you the ordinance so you're completely clear about the details.
Start by constructing your coop and run. Make sure they're predator proof because we have coyotes, raccoons, skunks and hawks and even if you haven't seen them they'll find your chickens. Also, if it were me, even if I planned to free range them (I did but gave up on that plan when the hawks were perched waiting for me to let my hens out) I'd plan my set up for a completely contained flock. It's only 30 days since we emerged from 2 years of restrictions that prohibited free ranging because of virulent Newcastle Disease. There's a decent possibility we'll be hit again. If you're prepared for it with adequate enclosed space you can free range until you can't and still keep your birds safe and living harmoniously.
When you do your construction it's a great idea to supply electricity. Water too if possible. We'll be in triple digits at any time now. When you have those days you need to cool your chickens down. I set up box fans. You may also want to brood out there and that means providing heat. Water is a constant need. Big capacity waterers will last longer but they're also heavier to carry so you won't want to carry them far.
You didn't ask but if you haven't set yourself up yet I recommend Agoura Feed. They're nice and reliable independent businesspeople and they'll take better care of you at better prices than Red Barn. Not that the people at Red Barn aren't nice enough but you'll go broke buying 5# bags of grit and oyster shell for the price you can get 50# for. And for almost a year they sold me feed with added calcium when I asked for all-flock (bottom line, trusting them to sell me what they said they were selling me put my rooster at risk).
Good luck with it. I've had my backyard flock for 3 years and I've just LOVED it. My neighbors have even learned to love my roo. Welcome to the BYC flock! And feel free to message me if you want more local info.