Coming last week of October.
Not all, but you will find many open restaurants. We visited in January and in Polignano we had quite what to choose from. October is probably more popular than January.
Thanks where did you base yourself in January?
Bari, as we only relied on public transport to get around and Bari is the main transport hub in the region. If you plan to rent a car, there are many other alternatives, but for public transport Bari is the best choice.