Primary School Reccomendations?

Kia ora, my family with 2 primary school aged kids and one kindergartener will be moving to Hamilton from Auckland. Currently we are open to moving anywhere as both my wife and I will be working mostly remotely with occasional travel to Auckland.

What area is best in terms of schools? What are the best public primary and high schools in Hamilton? Getting a house in zone for great schools that will set us up for the next ten years is important to us.

Thanks!