Hi there,
I've been offline for a few days, so didn't notice this post until now. How simple it will be to remove and reinstall your office depends on what version you have. If it's one of the more recent versions (Office 2002, 2003, XP) then you may have some small (but not unsolvable) problems. Issue is that with the recent software, Microsoft have adopted a one-time registration process whereby you can only use your licence key to unlock one installation on one PC. This means that when you come to try and register the copy on your new PC, it may fail, and you may then have to make a phonecall to Microsoft to persuade them that you've uninstalled your old copy and are now installing on a new PC.
If it's an older version like Office 2000 then this shouldn't be an issue for you.
Hope all goes well!