Hi Ken,
I presume by favourites you mean ones from Internet Explorer? There is usually an option to import/export files (under File on the ancient IE version 6 I'm running here on my works laptop). It should be possible to export to a file from the browser on your old PC, transfer it to the new one (memory stick, portable drive, etc.) and then import it again.
If your addressbook and calendar details are hel in something like Outlook or Outlook Express you should be able to do a similar thing.
HTH,
Simon