Finding a new job after baby

Good afternoon ladies!

I'm currently 38 weeks pregnant with our first baby. After she pops out I want to find a better job position. Last year I left long term employment stupidly and now am working a part time position that pays barely over minimum wage. Although I hope to stay in a part time position, I am looking for a job that pays closer to my original pay. I'm also studying for my real estate exam and hope to have that complete within the next few months.

Question is, when interviewing, will employers be as unwilling to employee a new mommy as they are a pregnant woman? Should I not tell them I have a 4 week old baby at home?