I am white and I bought a house in Oakland, CA a few years ago. I was not at all prepared to deal with the cultural differences of the neighborhood. It was a good learning experience, but I would not recommend that for people with kids.
Otherwise, follow the basic rules anyone would. Stay away from crime infested areas where the police is not doing their job, and stay away from gated communities where people are elite to the point of being ghetto.
It really depends on what your needs are and what you want to pay for your home? Give me a call and I will set you up with a great mortgage broker and then I will show you some homes that match your requirements, ie, school district, easy access to expressways, etc. My number is 847-977-5564.
Quality Mortgage Lending
Unfortunately you have asked a question that can not be answered by a Realtor. Our code of ethics ensures that we treat all areas equal. There are many different protected classes (race, color, gender, age, etc) that we are not allowed to bias a buyer for or against. It is for the buyer to make the determination after visiting the area and doing their own research.
Since diverse can mean a number of different things to different people, it is impossible for someone to recommend what a good place to live is for a diverse family.
Broker - Baird & Warner