Kiwi fuzz irritates my throat, so I rub a lot of the fuz off, and then use a straight bladed knife to "shave" the rest off. The skin gives a tart contrast to the fruit center. I'm sure there's lots of valuable nutrients in the skin too
Try a different variety. Some don't even really have hair.
The golden ones (as opposed the green variety that are more common in the US) are significantly tastier (at least, universally shared opinion among everyone I forced to try them) and have basically no fuzz/hair.