California Grandparents visitation

I don't know the laws in your state but you can google grandparents rights in your state and it will give you the info you need to know. Don't get upset if they do have rights and can bring you into court cause the judge is gonna wonder why the father isn't wanting more time. The state I live in grandparents have no rights unless the parents are unable to care for the child. I would look into it just in case they pull something out there sleeve.

I'm pretty sure that in CA there are no "grandparent rights"

here try this website:
http://grandparents.about.com/od/grandparentsrights/qt/Grandparent_Rights_in_California.htm

They can sue you for whatever they want. I don't think they will be able to win though. My inlaws live in CA, and my mil is good friends with a woman who, for long story short, is now in prison (drugs and bad men choices), and her 2 oldest kids are now living with their father (who had walked out on them yrs ago). Even though they (the grandparents) were the most stable adults in the kids' lives, when the mom lost custody, the State gave it to their dad (who decided that all of a sudden, after all these yrs, he wanted to be a dad now).

They (the grandparents) have no visitation rights other than what the father chooses to give them, and yes, they've seen a lawyer :-( I believe (but I could be wrong), it's because they never legally had custody of the kids at any time.

Is there a reason you DON'T want them to see your baby? If not, then maybe you can try to arrange another visit. You're not keeping the baby from them, so they can't claim that you are. You're not unfit (as far as I know) so they can't try to TAKE the baby. I think that you'll be fine, and they aren't able to just cry and get more visits. I THINK.