I actually brought an on-line copy of Office home and student not a CD version. But considering I still have the product key I should be fine. Right?
And even then, you can install it on 3 PCs anyway, so you're still good.
Check here http://superuser.com/questions/829739/transferring-microsoft-office-2010-to-a-new-computer for experiences with transferring the 2013 edition. Worked fine.