I say "hir" like "hear." If you think about it, it's only one letter off from "him" and "his" as well. (I wonder why the consonant change registers more strongly than the vowel?). Ze rode hir bicyle to the shops, and bought hirself some bread.
I think queerunity is using pronouns in a different way though; not just the epicine pronoun but a system which allows pronouns for male-ish females and female-ish males, which is rather an exiting thought. Is that right?