Even if the center of the town is extremely close to the Bed and Breakfast Savoia, consider the many attractive points of the area around Savoia street (Via Savoia), a very calm residential street immerse in the history and the culture.

Restaurants and covered market Around Piazza Alessandria, there's plenty of traditional restaurants and pizzerie.
In the morning, the covered marked; very useful for buying groceries. Nearby, many supermarkets.
If you just want a drink, you'll find a lot of pubs and disco to enjoy the Roman nightlife till morning.

Shopping center Located in via Salaria, one of the most exclusive street for the Roman shopping, the Rinascente (named after Gabriele D'Annunzio's inspiration) is the historical Italian shopping center founded in the begin of 20th century, where you'll find the main Italian fashion taylors.
And don't forget Via Veneto,the famous Fellini's " Dolce Vita" street of course,with its amazing Luxury Hotels, its Night Clubs, the Hard Rock Cafe' in front of the U.S. Embassy and several fine Restaurants,  just a few blocks away.