I'm not Suzanne either, but I have traveled in Italy on my own several times. A couple of very good resources for evaluating hotels are
www.venere.com (which is a booking service, but also has reviews) and
www.tripadvisor.com. . I personally look for location first, then try to find the best alternative in my price range in that area.
With school age kids, we can only really go in the summer at this point. July and August can be very crowded and hot. We went to the Amalfi Coast area this year in early-mid June, and I thought the weather was great and it wasn't oppressively crowded. I've also been in late October/early November, and the weather was a little iffy then.
It is very easy to get around in Italy by train, unless you want to spend extended time in areas like Tuscany or Umbria.