Please tell me about transportation from the airport to the hotel.
Public transport from the airport is definitely not an option! Taxi would be too costly and your best bet is a hired car I would say. We paid eur50 for 2days for a small car with thrifty which we took from Catania airport in Dec16. You would need a car to get to the parks either way.
Get an answer from Turismo Rurale Leanza staff and past guests.