my favorite youth .22lr is a CZ scout. it is a little more,ok twice and then some,than the cricket but you will get a gun that your kid will pass down to their grandkids. i made the mistake of buying one for my lil boy when he was 6. i say made a mistake in jest only because that lil CZ scout so impressed me that i purchased 4 more CZ rimfire rifles. it is the most accurate youth rifle i've ever seen. and when your lil 'un gets bigger you could get a adult CZ stock and it will drop right in as the barreled action is just the same legendary 452 action as their bigger adult sized rimfires.
good luck and enjoy this time as this is the good stuff,