Honestly, I would choose the school that best fits your career goals, and then talk with someone about deferring your matriculation for one year. I know several people who have deferred admission to PhD programs (even mentor model research-oriented ones), so it can be done. You wouldn't have to apply all over again.
I say this because you will be in your 3rd trimester during your first semester of school. And that first semester is typically very stressful - not only because of the coursework and research demands, but also because you are adjusting to being in graduate school. It's a big adjustment! At the same time, you will be heavy, tired, bloated, etc. Physically, it is going to be tough to take on that first semester when you are in your 3rd tri. And emotionally, your mind is going to be on nesting and preparing for the arrival for the little one - not completing yet another statistics assignment!
Alternatively, if you defer a year, you will be starting when your child is roughly 8 months old - you will have settled into a routine, kiddo will (hopefully) be on a more consistent sleep schedule, and you will have more energy to devote to your graduate studies.
Of course, you have to decide what's right for you. But that is what I would do if I were in your shoes.
Edited to add: I've already earned my PhD, so the above advice comes with the experience of having gone through graduate school. I think it would be quite different if you were having a child in the middle of your studies... but as a first semester student, I think it's going to be even more difficult.