I highly recommand Paola's place ! As a student (19 yo) visiting Rome on my own for a couple of days, I couldn't expect a better place to stay. The location is near the termini station, the colosseo, fontana di trevi,... There is then no need to take any train/bus to visit the center.
For those who love second hand shops, local restaurants, narrow streets, you will definitely enjoy the area of Paola's appartment. It is also absolutely safe.
Paola is a very kind and welcoming person who will make you feel at home. I felt directly comfortable in the cozy and the cordial atmosphere of the place.
I've spent an awesome journey out there and I won't hesitate to come back again some day.