We really recommend Giulia's place. Her flat is really well located, close to the old town and all the shops you could need. Cosy, confortable, you will find everything you need, the bathroom is really nice, and you have a kitchen if you like to cook. It's perfect for a couple on a trip to Bari (it's also close to the train station! Which is an important point if you want to go to some other places around Bari). Giulia and Gaetano are very nice people and very reactive to answer to your questions, and can recommend nice places for dinner, wine...