Good to hear things are going well and you are enjoying Rome, my favorite place. If you have a chance check out a couple of restaurants you might enjoy, sure the hotel Concierge can help with reservations. Not sure how close they are, but again I'm sure the Concierge could tell you.

Alla Rampa - by the foot of the Spanish Steps, face the steps, go to your right about 1/3 of a block and turn left and then bear to the left and you will see it. Yummy yummy food and a nice atmospher off the main street and less noisy and crowded.

Pier Luigi - a really wonderful small place our hotel recommended, but again not sure how close it might or might not be, its near the Campo di Fiori area.

Have fun.