The favored dichorionic diamniotic twins delivery method is caesarian, because there are more complications that can occur with a twin birth. It's also unlikely that you'll be recommended a home birth, if that's an option that you were hoping for.
It's also normal for there to be more doctors and nurses around you as you're giving birth to your twins, because of the increased chance of complications.
Your labor is generally going to be treated the same, but your twins are going to be more heavily monitored, normally with an electronic sensor that will be placed on the outside of your bump.
As for the birth itself, if you're lucky enough to deliver normally, then it's going to be pretty much identical to delivering a single baby, except twice! The only difference is that once your first child is born, the position of your second child will be checked either manually or with a scan. If the second baby is in the correct position, you might just give birth completely naturally. If not, you'll probably be given hormones to induce a second birth.
There's a whole list of complications that can cause your doctor to recommend a caesarian birth. Don't worry if this is the case. Like I said, over half of twin births are delivered by caesarian, so it's completely normal. Just relax, trust that your babies are going to be fine and let the doctors do what they do.