Kuijt is a nice name. But it's quite difficult to pronounce (for non-Dutch speakers).

I've heard my name Kuijt as either "Kaut", "Kout", "Coyt", "Kite" or "Kooit"..... None of them is the correct pronunciation.... but don’t worry, I don’t care.

Nevertheless, if you ask me which one I like the most, than I should say that the (closest) phonetic pronunciation of Kuijt is: Kout
Listening to this mp3 may help...