OK,  
  
On old computer, click on your first Playlist 
  
go (F)ile, (L)ibrary, (E)xport playlist 
  
name your playlist nixplay01.xml (selecting XML format) when the save dialog comes up 
Save it on a memory stick 
  
Take memory stick to new computer 
  
In Itunes go 
  
(F)ile, (L)ibrary, (I)mport playlist 
  
select nixplay01.xml and import 
  
Voila!!