From MIT (yes, that's Massachusetts Institute of Technology):
Gender Neutral Pronoun Usage:
Subject Object Possessive Possessive Reflexive
Adjective Pronoun
Female She Her Her Hers Herself
Male He Him His His Himself
Gender
Neutral Ze Hir Hir Hirs Hirself
Spivak E Em Eir Eirs Emself
How to pronounce gender neutral pronouns:
Ze Hir Hirs Hirself E Em Eir Eirs Emself
/zee/ /here/ /heres/ /hereself/ /ee/ /em/ /air/ /airs/ /emself/
Examples of how to use these pronouns:
She went to her bedroom.
He went to his bedroom.
Ze went to hir bedroom.
E went to eir bedroom.
I am her sister.
I am his sister.
I am hir sister
I am eir sister.
She shaves herself.
He shaves himself.
Ze shaves hirself.
E shaves emself.