I only saw Bologna from the train, so I can't comment. But, it did look nice.
I would spend at least a night in Siena. It's a college town, so in addition to the duomo, the piazza, the museums, etc. there's quite a "vibe." The shopping and food, well, just as good as Florence. Florence, while I really enjoyed spending a few days there, is huge. I wouldn't ride my bike in that traffic! I wouldn't ride in the walled city of Siena, either, but it's easy to get outside the walls.
The shop we rented from did not have high end bikes; they were crappy mountain bikes. However, that might have changed, since this was in 2004.
2015 Trek Silque SSL
Specialized Oura
2011 Guru Praemio
Specialized Oura
2017 Specialized Ariel Sport