To track the broad price graph and see which nearby airports (like Milan instead of Florence) were cheaper.
She didn't visit airline sites directly yet. She deployed her scouts:
Maya sat at her kitchen table, the glow of her laptop illuminating a face tight with determination. Her best friend was getting married in Tuscany in three months, and Maya’s bank account currently held enough for a nice dinner, not a transatlantic flight.
Once she found the flight on a search engine, she went directly to the airline's website. It was $10 more, but she knew booking direct meant better protection if the flight was canceled.