Where to stay
If you plan a short stay in Rome, it might be a good idea to take your hotel near the Termini main train station (map). With the fast express train you are in no time from the airport to your hotel and back, taxis might take a while as the city is busy and crowded.
The gay night life is a bit spread over the city, the street with the bars most popular with gays is very close to the colosuem, check out hotels nearby on this map.
Hotels
City