Last time I visited major Italy tourist cites and I loved it. For the second time, I am curious if Sicily is a good choice to experience Italy differently.

1. what cities in Sicily and time do you recommend? For a family with a toddler?
2. Is it safe for tourists? (Mafia?)
3. We also want to visit Amalfi. Any tips to visit the two in the same 2 week trip.

Thank you very much!