Sometimes you will need lookups of records or copies of records. I offer to reimburse people for their time and expenses. I asked my Grandparents early and often where they came from. I didn't always get the correct answers for town names, but I knew what countries they were from. My Aunts are more knowledgeable about family history than my other relatives so consider asking everyone in your family.
Chances are good that someone else has already done some research.
This is a start and will help you when you look for your surnames in the international phone directory. There is an Italian phone directory Italian White Pages - Phone Book which is very good if you know the region or town that your family is from. You will receive all of the listed white pages results for your surname in that country. I told who my Grandparents and Parents were and kindly asked for their assistance. Abruzzo who maintains the older records.