Zurich arrival and go to Lucerne : Lucerne-Salzburg

Dear all, I will reach at Zurich airport on 22 June 6 in the evening. I am looking for help to go to Lucerne on the same evening. Possible? After staying till 26th June 2012 i need to go to Salzburg. Need to be there in morning time 27th June. Will spend the day in Salzburg and in the eve want to go to vienna. Can any body help me the route and transport? 1. What is the best and budget way to reach Zurich-Lucerne and Lucerne-Salzburg ? 2. What would be the ideal time to start from Lucerne?
3. I have tried to find out the trains but failed. I am coming from Bangladesh a south Asian country.. Need your support,please please .

Posted by Michael Schneider
New Paltz, NY
6831 posts

Check schedules at the Swiss Rail site: http://rail.ch There are train connections from the airport train station to Luzern until 23:47. From Luzern to Salzburg it is a 6.5 hour journey with a connection via Zurich main station.