The way I use, is to click on files menu, choose Import / Export,
when new window open click on export to file / click next
click on personal files (.pst) click next
you will see a list with all your e-mail accounts and folders,
select those you want to save,
save them on a USB memory stick or on a DVD,
transfer them to your new computer,
open outlook 2003, click on filew menu,
click on Import Export
click on import personal files
click next
and let outlook 2003 import your files.