Typically, if you have children you want to search for the neighborhoods which are the safest, have the public best schools, or proximity to the private school of your choice, and easy commute to pick up your child if you both work, plenty of parks and is close to all beaches.
I recommend East Oahu, Hawaii Kai, Aina Haina, Kahala, in that order of price range from view point of value and safety. For young toddlers, the KCAA programs are the best in my opinion. Montessori is also great. It all depends on the child and their learning styles.
Please let me know if you need anything more specific and I would be pleased to assist you.
Enjoy your time with your child. It does go so fast.