Due on my father's birthday... Do I tell people?

Ay

So I have a lovely son who will be one next month, I just found out I'm pregnant again, however I'm due on my father's birthday, he passed away three months ago. Should I tell people my due date? My brother is 15 and going through important exams, I'm not even allowed to spread my father's ashes at the risk of upsetting him... I want to be happy but should I tell them?