How to apply for Indian passport for new born baby in NZ and which NZ Visa to apply?

Can anyone please share knowledge on how to apply for the Indian passport of new born baby in NZ. Parents of baby are on work visa, so please also advise under which category should they apply for her NZ Visa once passport arrives.

Apply and get the birth certificate first and after that apply for passport in Indian high commission. Once you get the passport you can then apply for your child’s vistor visa