To some extent it depends on the specific hospital and birth center. However, if you know that the birth center is natural-birth friendly/woman-centered, or if your hospital has midwives that you can use, I highly recommend going with those options instead of a traditional OB-led birth. This is my first pregnancy too and I'm having a hospital birth (due to a medical condition), but using midwives instead of OBs. The difference in care between the midwife I'm seeing and the OB I saw (to get "permission" to use the midwives) is shocking.
The midwife has respected all of my testing refusals, my request to delay trying to hear the fetal heart tones with doppler, and my desire for minimal ultrasounds. She even changed my EDD to reflect my late ovulation based on my charting.
The OB was polite, but was insistent about tests and procedures I WILL be having. She didn't seem well-informed at all about natural birth (and specifically water labor and water birth), and was operating under the assumption that I would want all the interventions available. And she insisted that we listen for the heart tones, even though there were no indications that the fetus was progressing abnormally. I protested, and tried to explain that since it was so early, I didn't want to try to hear them and fail and be stressed out wondering if my fetus was okay. She agreed, but then came in at the end of the appointment and said "I'm just going to try to listen to the heart, because we just really like to hear it. If I can't find it, I'll go find someone who can, and if they can't find it we'll just do an ultrasound!" Then she smiled, as though the threatened cascade of interventions was all I needed to make me feel better.
We were lucky that we did hear a healthy heart that day, but it solidified my desire for a birth without mainstream OBs! If you can go to a birth center that is woman-centered, or use midwives, I highly recommend it. Woman-centered care is SIGNIFICANTLY better than OB-centered care.
P.S. If you do decide to do a hospital birth, I recommend getting a doula to help you advocate for the type of birth that you want. I'll be hiring a doula in case I end up getting transferred to OB care last minute.