Hospital birth?

Have any of you given birth at 2 different hospitals? For example I gave birth to my first at one hospital and now I have a different ob and she wants me to give birth at this different hospital. I didn't want to at first since I had already experienced labor at the other hospital and feel more comfortable there but I feel so pressured into going to the one she wants. Every appointment she asks "what hospital are you giving birth" like every single time.