ncara is right--GREAT ADVICE about the website language and date...it's very easy. Follow the airport signs to the trains (they are in Italian and English) and buy your ticket. Some are faster (and more expensive) than others...be sure to ask which is which and when they leave, and from which track. The ticket sellers speak English. The trains end stop is Termini (the main train sta in Roma) but there are some other smaller stations, so maybe you'll want to make sure where your hotel is, so you aren't backtracking once you get there. Tho it's easy, it's still a bit daunting after basically losing a night's sleep on the plane and arriving at what is 3-4 am for you!
We've recently found it ALMOST as cheap to get a car from the airport for about 4045Euros directly to our destination (my sister's house in NW Rome, or in any case, a hotel--maybe midtown which would be closer), instead of a train to Termini (I recall 8Euros for the slow train and 13 or 15 for the fast one a few years ago) THEN a cab for another 10-15 E, depending on our baggage. Of course if you are staying within walking distance of Termini, and are on a strict budget, a train is fine and quite easy.
As for the car, my sister arranges it through a private company, and I'm sure you can find onr on the web, or I can ask her the name and phone #, if you are interested. (email me!) We've been to Rome many times and think we've finally figured it out! (Before you ask: no, she doesn't do airport pick-ups, even for us!)
