K.J.
Hi K.,
I had my child covered under Healthy Families for quite a while when my husband lost his job. It's very low cost or free. In my case it was about $6 per month. My son got to keep his regular doctor too. It's been a while since I used the program and things may have changed, so I've included the link for you.
http://healthyfamilies.ca.gov/Home/default.aspx
Good luck!