We had a lovely week in February travelling down the coast from Naples to Sorrento, with our 3 young children.
I definately would not drive - see previous posts, but the bus service is fine. When we got to where we wanted to be we'd sit in a cafe with our rucksacks while my husband went off and found somewhere to stay.
The last place was Salerno, and we spent 2 nights there as we took a bus out to the temples at Paestum, which was the highlight for me.
We then took the train back to Naples, which took about 3 hours (I think - it was about 10 years ago).
Do take care in Naples, I enjoyed it until I had my bag snatched. The police were as helpful as they could be, but they'd obviously seen it happen time and time again.
The night after Naples was spent across the bay in Sorrento, which is completely different, partly because it was full of tourists who hadn't dared go to Naples.
An unmissable day out from Naples is Pompeii.
One of the things I love about Italy is the passegiata at the end of the day when it seems that the whole town turns out to walk up and down and chat. I remember my children being horrified by the number of women wearing fur coats.
Have a lovely time, wherever you go!