If you're blocking the internet or any data services because of the risk of mature content you can use content filters for your phones. Go to My Services>Verizon Safguards>Parental Controls> Content Filters. The service is FREE and covers VCast music, videos, internet and text message short codes (like the one to vote on american idol). It doesn't cover games though.
They offer 3 tiers of filtering Child 7, Teen 13 and Young Adult 17 (and then there is off). pick the right one for your kid and you're good to go.