Rome in May? Just starting my reading and need advice! [View All]

I'll be searching the regular travel sights like Frommers and Rick Steves but I thought you all might have some Rome experiences to share. We are excited to plan this trip because our daughter will be accompanying us for 1 week of our two week trip. Thinking of renting an apartment for a week or if we can find a reasonable hotel that would be good too. After she flies back to the states, we'll take a train to other areas. Is Rome do-able along with Florence in one week? This will be her first trip to Europe but she has insisted that we not repeat a trip we have taken before just to show her the sights. We've been fortunate enough to have gone to London, Paris and the Benelux countries on prior trips. Would go back to any in a heartbeat but she thinks we should go somewhere else. Any thoughts would be helpful.