Hi, Mike! I'm surprised no one has answered your question yet as there are plenty of neighborhoods great for kids. Off the top of my head, I can already think of a few.
One neighborhood is called Napoli, and its off of Davis Blvd. Its great for kids because it has a pool, a playground and even a fitness center for mom and dad.
Another neighborhood with lots of young families is The Enclave, also off of Davis Blvd. It has a playground and lots of kids so your kid will have no trouble making friends, and the school bus pulls right up to the gate.
Send me a message and I'll give you a free tour. I hope you find someone to show you around and get you acquainted with this beautiful city.