If you want to feel like a local roman, stay at Nora's place. We stayed a week and had the beauty of experiencing everyday life with the locals and live like a tourist at the same time. If you have children Villa Borghese is a must-see; It's about a ten minute or less walk from Nora's place. The walk to the Trevi Fountain from Nora's place was about 20 minutes.
Nora is very sweet and her communication was stellar, there was not a time that I was not able to reach her. She will quickly turn into a friend you feel like you've known for a long time. On her way back from her travels she brought us this delicious dessert from Naples! We even spent our last evening together and she brought us to the local market where we were able to indulge in Rome's most delicious restaurants all in one place.
Her place is no-frills, but it's just what you need for your accommodations. I highly recommend her place and would stay again.