I'm absolutely no expert (even though I'm italian ๐) but I'll try to answer. The most traditional pizza is the one served in Naples and usually has a soft edge (no idea what is the correct term) (https://ricette.giallozafferano.it/Pizza-napoletana.html) Pizza romana should be a slightly different recipe from the one above and usually is "lower" and more crisp. (https://ricette.giallozafferano.it/Pizza-Romana.html) Pizza barese might be focaccia barese? (https://ricette.giallozafferano.it/Focaccia-barese.html)
In general you can find all kind of pizza across Italy but sometimes you get the real taste, others you don't !