CAMPO DE FIORI
This is a lively square in cental Rome that starts each morning as a market place and ends a popluar drinking spot.  During the mornings from Mon -Sat there is a fruit and vegetable market, which while expensive sells the best tasting, sun ripened fruit around!   By early afternoon, the stalls are pulled down and the council move in to clean up. 

From then on, it's a fantastic place to get a drink and sit in the sun. The cheapest drinks are sold as "takeaway" where you can enjoy your glass of wine while standing in the square - very popular with Italians. However it's not too expensive to get a wonderful seat at Vinearia and the like and enjoy the people watching and busker entertainment from a comfortable spot. This place is very crowded on weekend evenings, and a lot of foreigners gather there, above all young people. Be careful because somebody can have a bit too much alcohol and glasses (now only plastic) may fly!  Wind through a maze of streets to the north to reach Piazza Navona, a wide open space that used to hold chariot races in ancient Roman times. Presently, it is a Baroque masterpiece, with fountains designed by Bernini and several restaurants. Here you will find a slew of caricature artists that will draw a very accurate sketch of your face for 40 Euros.

Pleased be advised that the spectacular Fontana dei Quattro Fiumi in the centre is presently undergoing renovation work, but you can still see through transparent panels.  Also, the powers that be only periodically enforce the plastic glass rule, it's usually only during the summer in the evenings and weekends.

TRASTEVERE
A really lovely part of Rome, which is across the river from Campo di Fiori.  The centre is Piazza Santa Maria in Trastevere and there are narrow cobbled streets and plenty of bars and restaurants going from there. There are a few beautiful churches, Santa Maria in Trastevere and Santa Cecilia. Few tourists venture to this neighborhood, so you will mostly encounter true Romans.  Very crowded on the weekend, so don't try to reach it by car! It will save your feet a lot of trouble to take the bus if you are staying across the river in central Rome.  Trastevere is easily accessible from Fiumcino airport with trains every 30 minutes.

TERMINI
The area around the main train station is not particularly nice and is mainly tourist hotels and bad tourist food - avoid eating there if possible!  It is inevitable that you will be approached by touts for the various tourist bus services; do not be stampeded into choosing the first offering.  Some of the bus tours only go to a few of the key sites, while others are quite comprehensive and give you a good introduction to Rome's layout and how to get around it.  Even if you can't take in all the sights during the bus tour, you are then well placed to go for grand walks without getting lost!

Form the Termini train station it is easy to reach the centre of Rome where most of the sight seeing locations are. Just jump on the subway (metro) and get off at stop "piazza di Spagna" and you will find yourself in the heart of ancient Rome in minutes.

EUR
EUR is a suburban residential area and a business district. The heart of EUR was bulit in 1935 by Mussolini for the  Esposizione Universale Roma.  The neighborhood is very different from what one sees in the center of Rome. There are no ancient Roman ruins in this area and the streets are wide and modern. Its a well balanced area with concrete surrounded by wide green areas and trees. You will find both buildings and villa type constructions in separate areas.

There is an artificial lake in EUR that the Romans call laghetto (pronounced lageto) meaning little lake. The lake is surrounded by a Japanese garden / park that can be pleasant to walk through. There are some places to eat and have ice cream around the lake. Avoid the lake on weekends if you are lookng for peace and quite, the place will be packed with families and kids. EUR is also where Rome's theme park is based. The theme park called "LUNEUR" Its nothing compared to most theme parks like Disney or similar due to tiny size and limited type and number of attractions. EUR is connected to the city with both subway (subway is referred to as "metro" in Rome) and bus transportation. Metro is the fastest and easiest way to get to and from EUR.   There is presently a lot of earthworks going on in this location during the week, with huge bulldozers, so that might spoil your peace and quiet!

If you are a tourist who wants to be as close as possible to the sight-seeing areas this would not be the best location to stay while visiting Rome. Rome is not only about seeing places, it's about living them and strolling around like a Roman. Better to spend a couple dollars more but be as near to the center as possible. While staying in the city center you will save on transportation since you will be able to move among most of the sight-seeing locations by foot as they are all close to each other.