I have a 60D and I know sdhc cards work in it, I am unsure about sdxc though?
Yes. According to Canon's website, the 60D has:
Compatibility with SD/SDHC/SDXC memory cards.
Yes the Canon 60D is compatible with SDXC cards. You will see it mentioned first on page 2 of the manual. You can find a link to the manual on Canon's website here.