AutoText entries are saved in Word templates (*.dot files). If you
don’t specify a different location when creating an entry, it will be
saved in the default global template, Normal.dot. You can copy the
Normal.dot template from the old computer and put it on the new
computer, and that will bring along the autotext (as well as any
macros, styles, and toolbars you have stored there -- see
http://word.mvps.org/FAQs/Customization/WhatTemplatesStore.htm).
An alternative, if you don't want all the other stuff, is to use the
Organizer to copy the autotexts to a new blank template on the old
computer, move that to the new computer, and use the Organizer there
to copy the entries to Normal.dot.
BTW, whether it's Windows XP or Windows ME has nothing to do with it
-- the version of *Word* may be important. However, templates from
Word 2000, 2002, and 2003 should be compatible, and even one from Word
97 shouldn't give you trouble except possibly in the macros.