It is that time of year again. I usually get at least one question a day from a parent asking what kind of drone they should buy their kid. It isn't really an easy question to answer. There is a 100% chance that whatever drone that you buy them will be crashed within 6 months. There is probably at least a 50% chance that they will crash it with the first 30 days. I would say that everyone should start out with a smaller drone like a Hubsan X4 H107c. Any drone weighing over .55lbs has to be registered with the FAA. This one should be small enough that it doesnt have to be registered. This one goes for around $60. It does not have a camera, but you can get one similar that does for a little more money.
If you wanted to step it up a notch you could go with a DJI Phantom 3 Standard. It comes with an HD camera, it uses GPS to keep its position, and you can use a cell phone or ipad to see what the camera sees. It sells for around $400. It would need to be registered with the FAA online.
The Phantom 4 Pro is even better than the one before. This will likely be my next purchase. It has a 20 megapixel camera and shoots 4K video. It also has obstacle avoidance. It would also need to be registered with the FAA online and sells online for around $1400.
If you end up buying your child a drone it wouldn't hurt to go ahead and get a few extra batteries. I would also recommend watching a few youtube videos before the first flight. I hope this helped and none of the information that I gave you is scientific, just things that I have learned along the way. Good luck and happy flying.
You can find out more information about drone safety and registering your drone at https://www.faa.gov/uas/