We had a really good stay in Conversano. The historic center of Conversano is very charming. Nice beaches around Polignano a mare only 15 minutes away. During our stay we had a hard time finding parking near the house, perhaps just unlucky and a busy week. However free parking are on mostly narrow roads. If using your own car and being afraid of scratches on a busy week you might be better of choosing a bigger payed parking.
Thanks a lot for the stay - superb communication and apartment!