i have noticed there are lots of jobs for nannies, cooks and housekeepers/caretakers. alot of these are specifically asking for americans(for american families).
and hospitality jobs so i suggest if you can do a food and beverage course as well as a tefl course to cover all bases. i-to-i is good tefl that is the one i am doing at the moment. some courses say they take 3 months to do but can be done in 2 weeks.
look for classifieds in italy and use the translate button for google.
also for tefl teaching, i have heard that it is better to go to the schools in the area and ask if they have any vacancies.
i hope some of this helps.
my husband, 2 boys and i are moving to italy next year in september so i am doing alot of research.