That's a great age to start shooting.
Some thoughts for your consideration.
I found that the QB78 is a great airgun to use to teach kids (and adults!) about guns and safety before going to firearms.
Its bolt action is identical to a firearm making the transition smooth, but more importantly, easy to teach a consistent safe manual of arms.
It's single shot with iron sights making it easier to train new shooters with.
Young kids and easily cock and load it while you teach safe operation and can control the pellets.
It's all wood and steel- no plastic and can be passed down generations.
It uses one or two CO2 carts, or can be bought in a QB79 version that uses paintball tanks or remote for hours of endless shooting.
It's very easy to work on yourself.
Replacement stocks are inexpensive (about$30) so it is relatively painless to cut one up (slices off the back) to fit a young shooter (important).
You can always add the slices back as they grow or just buy a new stock.
Lots of aftermarket, relatively inexpensive, support (in my recommended priority, 2 stage trigger, hammer debounce for increased efficiency and less noise, power valve job).
It's an improved clone of the Crosman 160 discontinued in 1971.
Too bad Crosman doesn't make them anymore. I've got a Crosman 160, a QB78, and QB 79.
I like the QB79 for all the options available for the CO2 powerplant.
http://www.archerairguns.com/QB79-Chine ... ibqb79.htm
I'd recommend the .22 over the .177 as it's easier for kids to handle the pellets and makes fun targets in the backyard jump more.
Plastic toy animals make for a great safari hunt in the backyard. Shoot safely minding what's behind the targets.
This also often keeps kids and adults interested longer than shooting just paper targets.
Keep it safe, fun, and interesting at that age. I would set up a safari hunt in the backyard, and my kids would soon come out an join me without any prodding.
****The QB78 is my go gun whenever I introduce a new shooter to shooting****
It's a great way to introduce people to the sport before before pulling out the fun $tuff: Daisy 753, 853, 953, ZM2002, FWB Mod 2, LP5, LP10E, Career 707, HW30S/R7, HW95/R9, RWS 34, Benjamin 392 ($135.15-$20 discount upon checkout $115.15 shipped on Amazon Prime today--Really Great Deal!- I must resist!)
Personally, I don't like BB's because they ricochet and bounce back too much. Be sure to always wear eye protection.
Have fun!
Chris
PS. The safety reminders are just a habit from coaching.
PPS. My kids started shooting balloons it the backyard with an IZH-46 that I would hold (under the barrel) for them. They would grip and aim (the laser) when they were 4 years old.
Lots of fun. They graduated to their own Daisy 953s which I would cock for them. Now they are 15 and 17 and shooting club 10m pistol twice a week. The lessons about persistence, forgetting the past shot, focusing on the future, positive mental attitude and imagery, working consistently daily, etc. all carry on over positively to the schoolwork and life which is more important to me than their scores (which is what they are focused on LOL).