The footer moodle link, footer moodle docs and footer home logininfo can be very easily hidden in Moodle 2.

Open the file /home/mydomain/public_html/theme/mytheme/style/core.css and add the following css:

#page-footer .logininfo, #page-footer .sitelink, #page-footer .helplink {
display:none
}

The standard Moodle footer will now be hidden.