I am pretty sure they do because when we took our French poodle named Sticker to LA central animal hospital to microchip her my mom and I were told that all animal hospitals provide this service. We were also told that it was not necessary to take your pets to the shelter for this service that they also help you with it. There is one catch though, they are going to charge you a little more than the shelter does but we thought it was worth it because they are automatically registered and if you do it at the shelter you have to register them online. It's more complicated.
Yes they do
Yes
Yes. Valley will chip and register your pet for you.
Yes they do chipping there.
Thanks! Your answer is awaiting moderation.