What are the best schooling options for my children in New Zealand? Will the struggle to settle in?

Hi.. We are a family of 4 planning to make a move to Auckland NZ from India as we have our residency visa . I hold a Civil Engg qualification and certified to live and work in NZ . I want to be part of the rebuild in Auckland or Christchurch . I have a daughter of 11 yrs and son of 5.5 yrs of age who would need enrolment to a school in Auckland . I was keen to ask how is the education system there and for them to adapt to the cultural changes and systems of teaching. I would expect an initial culture shock but I understand that with so many Indians well settled in Auckland in particular , this shouldn't be difficult ? Is there any sort of bullying or other difficulties that migrants could face in school being from different origins and cultures ? It is a tough decision to make as they need to be uprooted from reputed schools back her in Mumbai,India which they are happily attending to . Are there in particularly good public schools that I should keep an eye for ? Besides which are some of the good residential neighbourhoods that one could consider to stay in ? Any other tips would be extremely valuable and appreciated Look forward to your guidance Regards