At my twins group, 20yrs ago, most of the first time mums ended up with a normal delivery, with an epidural and with assistance for T2. A few more than with singletons had caesareans, but usually earlier on in the proceedings than those I knew with singlestons. One I knew had no epidural as she had a 3 hr labour and the anaesthetist was elsewhere, and that went fine and she had not stitches either (she also had many years of treatment for endo and then ivf so deserved some luck 
)
Those who had twins later tended to have fairly straightforward births and usually without the epidural. One was on DC5&6 and very worried about intervention as she had a bad time with DC1, but they let her have them naturally and it was fine. Another had ventouse, forceps and James Heriot jobbie, all with gas and air, and said it was absolutely fine. She is an amazing stoical person and had similar with DC1 - shape of pelvis problem. Another, on DC3&4 (DC2 was quick) was expecting things to be fine, but DTs turned breech at 36 weeks, then transverse - she was booked in for a CS at 39wks 
and made it to the day before when her waters went and she had to go in by ambulance - she was met with the same inexplicable policy as me, of trying to keep her for the day staff 
but she fortunately had a midwife with a bit more backbone than mine, and emergency CS was performed tout suite.
I think the number of people around depends on the time of day and what is needed. There should be the midwives, a registrar and extra person for extra baby and maybe a paediatrician, but all the extras can stay out unless needed if you ask.
DTD2 was breach, but she turned sometime between the registrar assessing her and her quick delivery. I have no idea about how often this happens, but there is a lot of room in there when the T1 has been delivered, and I don't think anyone had any control over it. I was given an injection to restart the contractions - also had this x2 with DC1 as the placenta was a bit slow.
Our hospital had some sort of protocol, which they did not seem to want to share with us but they are supposed to be better at communicating these things. It seemed to involve breaking waters and putting a drip in for future use and head clip at 4cm, an epidural (at some point though they seemed to be a bit slow and missed a lot) and birth in a delivery room handy for the theatre.
If you can find out what your hospital tend to do, you might be able to get a birth plan together - I gave up.
After that, it is a bit like a toboggan ride - you get on at the start and hope to get off at the other end in one piece (at least it has always been like that for me with fast deliveries )