Catania–Fontanarossa Airport: This is the useful airport for Noto. If you are not renting a car, take the airport link into Catania Centrale, then use the regional bus/train connection via Siracusa; allow roughly 2½–3½ hours door to door and check the day’s timetable closely. For two or more people with luggage, a pre-booked transfer or rental car is usually the genuinely better move: about 1 hour 20 minutes by road. Do not expect an airport-to-Noto rail service that works like a seamless city transfer.
Siracusa railway/bus station: The sensible public-transport gateway. Interbus/AST buses to Noto take about 1 hour 15 minutes and terminate by Villa Comunale, just outside Porta Reale—far more useful than arriving at Noto’s outlying station. Tickets have been sold at Hotel Flora beside the stop; confirm current sales arrangements locally. Trains run only a few times a day, and the evidence notes no Sunday service, so treat rail as timetable-dependent rather than a default.
Noto railway station: A small, south-of-centre station served by a limited number of regional trains toward Siracusa and Ragusa. It is a walk from the historic centre rather than an arrival in it—roughly 20 minutes uphill/into town with bags. Buy a return ticket before travelling when possible: the station can be unmanned and may not have a working ticket machine; buying on board can add a €5 supplement.