I stayed with my mom for three nights in Giuseppe's apartment. We are extremely impressed with the care that he put into hosting us, and the ease of communication. He was very thoughtful, helpful, and available - a dream of a host, really. Giuseppe waited for us at the corner of his street in Trastevere (many little winding streets which are so cute but not when wheeling a suitcase!). He helped us carry our things, which was much appreciated after a 30-hour trip from New York. Giuseppe recommended great places nearby to eat, too. The apartment is very cute and super clean, pretty small but adequate and with a large bathroom. The terrace is the most serene place in Rome! The whole building is very beautiful and clean. At night it is quiet, and the mattresses, pillows and comforters were heavenly comfortable. The shower gets very hot, which is great, and the internet was reliable and super fast. We loved it so much we will be staying at Giuseppe's for one more night next week when back from Florence. Giuseppe was so kind he let us leave our big suitcase so we didn't have to schlep it on our road trip.
As for the neighborhood, I don't think you can do better when in Rome. There are tons of cafes, restaurants, and open air markets, so options are endless. The only word of caution from a New Yorker used to having delis on every corner: there aren't many grocery stores (alimentari), nor are many listed on google maps, so don't count on just stepping out and finding one. The nearest supermarket (called Conad) was downstairs within a department store (!) which is called OVS at Viale di Trastevere 62. I should've asked Giuseppe before we tried looking! :) All in all, truly fantastic place to experience a fantastic city and neighborhood.