As of April 15th, residents 16 and older are eligible to schedule an appointment for the Pfizer vaccinations only. Moderna and Jannsen (J&J) vaccines require you to be 18 and older. If you try to schedule an appointment and they are administering a different vaccine other than Pfizer, you will be listed as ineligible.
Appointments can now be scheduled through https://myturn.ca.gov/ or https://vaccinefinder.org/. With vaccinefinder.org you can select the type of vaccine in the search menu.
Please note: the J&J vaccine is still suspended.
To read more about eligibility for vaccines, go here.