If you want the optimum of your stay, I recommend Marios appartment from the bottom of my heart. 10' from Bari Cenrale and 18' from thre old town. Just opposite the appartment, which is on the second floor, there is a shop for the daily needs (food and drinks), There is a TV-set for local stations, a fridge and a water boiler for hot drinks. The bathroom is nearly new and equipped with high price excellent installations, like in a 4 stars hotel. You will enjoy your own entrance to the appartment. Mario is an absolute nice young man, who gives you insider informations about restaurants and sigtseeing. He is really very helpfull.
Without any hesitation and limitation, I can say that my stay was really good in SUPER MARIOS appartment.