We are researching getting to Florence after we arrive in Bologna. There is a shuttle bus from the airport to the train station, where you can then catch one of several classes of train to Florence - they all seem to take about an hour, some a little longer. We also found a site earlier today that has private cars for hire (with a driver). We have an email into them asking for a price. I have a feeling it is going to be much more expensive than the train, but if it is close we are leaning this way. There are 4 of us, and we are going to have a lot of bags - it would seem a lot easier to hop into a car and get taken door to door, especially with the kids, than lugging around all the luggage from the airport to the bus to the train to the taxi, etc.
Anthony