I just got my first on Monday. I found it through checking https://www.vaccinateca.com/ iirc at a Vons (and got a grocery coupon as well). It took about 2 weeks from when I first became eligible to get one.
I've heard there are 'waste' lists at some pharmacies, you're added to a list to call at the last minute. I was just about to ask our local CVS about when I scored my appt so I don't know how prevalent those really are, they sort of feel like urban rumors anymore. Hope you're able to get one soon, you should def ask at Kaiser!
~ Dawn
Our little monkey (4/2011) & his early holiday present 12/12