Hi I'm also using kids safe Browser and I think it's the best Software available for Android.
I'm also on cyanogenmod and you can change your wifi settings to run over the OpenDNS family shield IP so that it will only affect your phone and not your whole family
!
Just go to wifi settings, long tap on your Router, change IP settings to static and fill in following IPs:
DNS 1: 208.67.222.123
DNS 2: 208.67.220.123
I assume you have root access so you should deinstall chrome and all other browsers (deinstall!!! Deactivating is not enough)! And deactivate your appstore! I even deinstalled my appstore and created a backup of it on an external SD card which I insert once a month just to update my apps.
Since I don't need the appstore that much it works perfectly fine for me like that!
To remove ads which are often triggering I use Adaway!
If you need help to setup those softwares feel free to PM me!!
-TheArchitect