[Matthew]

What is the link to put there.

'href' => site_url(' <strong>LINK HERE</strong> '),

[Matthew]

This is what I have so far

add_action( 'wp_before_admin_bar_render', 'my_tweaked_admin_bar' ); 

function my_tweaked_admin_bar() {
    global $wp_admin_bar;

    $wp_admin_bar->remove_menu('edit-profile');

    $wp_admin_bar->add_menu( array(
            'id'    => 'edit-profile',
            'title' => 'Edit My Profile',
            'href'  => site_url(''),
            'parent'=>'user-actions'
        ));
}