E.L.
Hi there,
I was planning on using the Birthing Center, and took the required class (you have to in order to be admitted, and this is where all of your questions would be answered). I had not been told until that point that if you go only six days past your due date, that this disqualifies you from being in the birthing center. Of course, at the time, you think--"oh I won't go that long." But I went into labor six minutes (literally, 12:06 on April 26th) past the deadline, so ended up in regular Labor and Delivery unit. Since this is your first, you have a higher chance of also being overdue.
At any rate, I had a great experience in regular L And D. Delivery was in a private room, the labor nurses were great. Post-partum was a shared room (though they have privates for extra cost) and was quite pleasant. I got a lot of help with breastfeeding from the nurses there.
So that doesn't answer your questions about the birthing center, but just wanted to let you know that the other alternative is fine!
best wishes and have a safe and blessed delivery!!