Hehe - yep, the US and the UK have rather differing attitudes to pain relief in childbirth, it has to be said! What you've heard is absolutely right - they think we're crazy for the gas and air (why, I have no idea) and we think they're crazy for their almost obligatory epidurals! It seems to go, "labour", "reach 4cm = automatic epidural, regardless", "sit around chatting, maybe sleep", "if labour slows down below some arbitrary amount, add pitocin (increases risk of interventions)", and finally all being well - "deliver". Of course it helps their anaesthetists are usually immediately available.. not the case in UK hospitals at all. We also have pethidine available to us, not sure if US do or have an equivalent.
PP is right - over here we only see the doctor if something goes wrong or gets complicated.. in the US the doctor usually delivers. I've heard too many stories of women being told not to push(!) despite the fact she really needs to because the doctor hasn't arrived yet which just seems so wrong to me, but hey.
From the Americans I've known on forums, it does seem that mostly only the "crunchy" mommies tend to forgo the epidural - these are also the ones who try and have a more active birth. As a PP says, I'm not sure how easy it would be for you to have an active birth if you needed to be monitored which you may well do this early. But an active birth helps with the pain quite significantly. I had a failed induction with DD2 before ending up with a section, and had to be monitored but I could still pace around/be active within range of the wires, not confined on my back to the bed at all, so it wasn't too bad.
An epidural isn't the end of the world at all, but obviously it's nicer if you can do without it - better for you and better for baby. And most importantly, a lower risk of interventions. Not wanting to scare you but chances are good this early you may well end up with a classical c-section (vertical incision) which is not nice at all, rather than the traditional horizontal one if you end up needing one at all. Hopefully not though!
They are likely to be respectful of you for not wanting one because you're from a different culture which is less epidural-orientated - I am sure they would understand especially as they all sound so nice!
On the plus side, you lucky sod - you don't get to experience an NHS postnatal ward
That in itself is beyond priceless and the stuff nightmares are made of!!
Yay for 29+3!! Hit that 30 and things are looking brilliant!