Just had my second daughter (Dec 17th) here in the UK (first was born in the US). Overall, I had great experiences both times. In the states, I searched out to have a midwife and had to have a lot of things in my birth plan to support a natural birth (with little monitoring, etc) but all of that was honored by my hospital.
In the UK, the majority of those things were standard, so that was a non issue. They were very hands off here, to include you bringing EVERYTHING you need at the hospital (nappies, wipes, towels for me for the shower, etc) but I liked that. I imagine for a first time parent it may be a bit daunting, but they treat you as if it is your child and you take care of the baby (not in a bad way, but a practical way) whereas in the states I felt like they treated you as if you had no clue and had to be "trained" in a way. Hard to explain, but I appreciated the medical care here. We stayed in our labor room for hours with little interruption and intervention. We were able to go home hours after the birth which was nice (though we could've stayed longer if wanted). I think it is what you make of it either place.
My opinion is that it depends on how medical you want your birth to be, which will determine yoru feelings on US vs UK birth and how much you want to be your own advocate.