New job and just found out I’m pregnant 😬

I just started a new job at a place I’ve been trying to get into for years! The day before my first day I found out I am pregnant with baby #2 (due Aprilish 2020)! Because of the timing I will be ineligible for FMLA and will have very little vacation and sick time built up. I am not concerned about getting paid while off work but worried I will loose my job if I want to take a full maternity leave. I am also concerned about what my new employer will say/do and how I will be treated once I tell them I am pregnant! Also how and when do I break the news? Is sooner better than later in this case? Has anyone ever been in a situation like this? What are my options? What should I do? I am majorly stressing out about this! Help 😩