Shirl, if you want to keep the cost down on this one too, I would recommend that you search on Homelidays.com, VRBO.com, and Cross-Pollinate.com.
We again found our best price by looking OUTSIDE the main tourist areas. We made sure that our apt was either near a Metro, or on a Express bus line.
In Rome, we got our apt (VRBO # 13150) in the Via Veneto area, two blocks from the Nomentana train station (easy airport access), and two blocks from the express bus line (which took 10-15 min to get to either the Spanish steps, or Termini.) It was one bedroom, with a living room that "closed off", and a couch that turned into a bed.
The neighborhood people, restaurants, bakeries, and stores were fantastic and fun. One night we could hear a wonderful choir. We wandered our way to the local parish hall and listened to the childrens choir practice. They could tell we were tourists, and aferward they came up to us and we had a great conversation with them (and we speak no Italian, they spoke limited English.)
The apt was overlooking a park, and river, had elevator, air and wonderful balconys, and all of our payment ($100US/nite) was done in dollars, in the states..
Moral of the story...stay out, just a little, and enjoy the ambience of the real Italy!