Birthing Center VS Hospital

So I am newly pregnant however, my husband is in the military and we will be PCSing before the baby arrives. The military is asking for our birthing plan so that everything is squared away as far as insurance and what not before we go. 
My husband and I both really want a natural birth. We want to keep the cord and placenta attached for as long as possible as well. 
Have any of you ever had a natural birth at a birthing center or at home? How was your experience!? 
I am also a tad bit nervous about being sent home 6-8 hours after delivering.