The residential expert on this subject would be /u/celebreth, and he has answered so very many questions about Rome. Instead of just plagiarizing his answers, I'll just link you to the relevant answers for each question.
(NOTE: While his lengthy answers may look intimidating at first, they are WELL worth the read! Trust me!)
What do I do for entertainment & What and where do I eat?
(The link on "entertainment" also covers a bit of eatery, but the later link gets a bit more in depth)
Hope his answers helped!