From Salzburg Airport to your destination:  you can rent a car (7 rental car agencies have offices on the ground floor of the multi-storey parking garage), take a taxi or a bus: Numerous taxi companies take you to all parts of the Salzburg area, while private & public buses take passengers in winter to popular slopes.
Trolley bus No. 2, which comes around every 10 minutes, connects you with the Salzburg transportation system, and within 25-30 minutes you arrive at the main station (Hauptbahnhof) or the city center.  From there you can catch the train to popular tourist resorts (Zell am See, St. Johann, Altenmarket, Radstadt, Bad Gastein, Kitzbuehel, Schladming, etc.)
Buses number 8 & 2 also leave from the Airport into Salzburg, the stop is reachable via covered walkway from the passenger terminal.

Google Plus One