Starting a new job?

If you have 6 months left in your pregnancy and was offered a great job, when would you tell them you were pregnant?

I just got offered a wonderful state job and want some advice.

After 60 days they have personal time and sick etc.

Im not sure of the policy on FMLA though and I did not want to ruin my chances of asking during the interview.

I understand its illegal for an employer to not hire you based on that but I wasnt going to take the chance since I am literally broke and hungry.