My name is Kyra and I pronounce it as K-eye-ra. I don't think that there is a correct way to pronounce it, as both pronunciations have different meanings, origins, or significance to the name bearer/parents.yra is pronounced K eye ra, rhyming with Tyra or Myra, not Keera. If you want your name or your daughterâs name to be pronounced Keera, you spell it Keira (as in Keira Knightly), Kiera, or Kierra.