For the iPhone (due to built-in limitations), we strongly recommend following all the directions on the install page to correctly lock-down internet capable apps.
The WebChaver system is available for your iPhone, iPad and iPod Touch at no additional cost. Internet activity from your mobile device will be tracked and reported on the same weekly report as your home computer's browsing, using your WebChaver username. Filtering is also available as an option.
Other viable options for iOS are:
K9 is NOT recommended since it is not comprehensive and cannot be customized.