Amongst the characteristic places of the city, you should visit the old town (città vecchia), where the Basilica of San Nicola and the Cathedral of San Sabino (at Cattedrale) are located.
We did not found spectacular beaches in Bari, but we drived to Polignano de Mare (half hour drive) and discovered a little piece of heaven!
Alberobello is also top list, I would say it’s a city more like a nice welcoming neighborhood with all the identical houses and their construction is not an ordinary one for sure! We also made a stop at Ostuni (The white town).
Sure we’ll share your photos with you. A must see.