While you are on the site, in your browser find and click "Add to Home Screen" A CGN beaver app icon will then be created to your phone that is directly link to the site.
Note: This feature may not be available in some browsers.
This being the reason why self hosting trumps paying someone else to. Its usually just an issue of having to unplug something and plug it back in, which would be nice to be able to have done without calling someone.