This three part screencast looks at how to successfully export and move your audio from an existing project in one DAW to another. Here I have used Logic Pro 9 and Cubase 5 but you can use the techniques shown here in literally any two applications.
I cut the process up into three parts because it would of been 15 minutes long in one piece and you all would of fallen asleep. Apologies if I pick up the pace a little as I go but I realised I might be talking for an hour or so if I didn't wrap it up! Anyway I hope this is helpful to you and please let me know if you have any suggestions for future screencasts.