The Turku airport has several national and international arrivals and departures daily.
There is a regular municipal bus connection to the city center. The bus number 1 departs every 20 min for the city center. The bus fare is EUR 2.50 for an adult (higher in the night time). Cash only, no credit cards.
Alternatively, you may take a taxi cab from a line to reach your hotel directly. There is also an airport taxi that takes you to the hotels in Turku for fixed fare of EUR 12/person. You may order an airport taxi by phone (0400 919 940). The airport info desk can surely help with this. The taxi drivers accept all major credit cards.
The Helsinki-Vantaa international airport is the principal airport in Finland. There are very good connections to Turku by flight of course, but also by bus. There is no train connection from the airport; you must take the Finnair City bus to downtown Helsinki and a train from Helsinki to Turku. The train timetables and electronic ticket sales are found at the site of the national railways.