My family and I will be flying into Naples and staying at the Sorrento Hilton Palace. We will have a 10 year old and 16 month old with us. What is the best way to get to the hotel from the airport?
Looks like a taxi is the best bet. Your hotel has listed all the options on their site.
http://www3.hilton.com/en/hotels/italy/hilton-sorrento-palace-RROHIHI/maps-directions/index.html
I have found that a car service or taxi from Naples (either airport or in town) to Sorrento is a good splurge, especially true with 4 of you including kids. Of course a taxi or car service can take you right to the door of your hotel, rather than dropping you in downtown Sorrento, which would require other transport to the hotel.