You can travel to Eugendorf by bus - have a look at http://www.oebb.at/en/index.jsp
Eugendorf is nearer to Salzburg Airport - Attersee, Fuschlsee are also beautiful places, but greater distances from Airport.
If you decided to any hotel in Salzkammergut area - ask also the hotel about the transfer from Salzburg Airport.
"Salzkammergut area" (Attersee, Fuschlsee, Wolfgangsee, Mondsee,...) is a very beautiful area for road biking - so enyoj it!
If you have any other questions, let us know......