You might find that some place of interest but not so tourist ones, are not well connected by trains and buses.Unfortunately for a budget traveller,the only solution is renting a car. Bear in mind thought that il on weekdays there might be a chance to find a couple of trains or rare buses going there which is quite impossible to do during the weekend.

In the south less people speak English so you might find a few phrases useful:

Grazie!=Thank you

Prego=You're welcome

Da portare?=To take away

Da mangare?=To have have(eat)here

Andata e ritorno=(for tickets)return ticket