Output All Tag Descriptions from the DB on Home Page

I found this useful.

https://wordpress.stackexchange.com/questions/21234/how-to-enable-all-tag-descriptions-in-loop

$tags = get_the_tags(); // for the specific post
// $tags = get_tags(); // all tags
$html = '<div class="post_tags">';
foreach ( $tags as $tag )
{
    $tag_link = get_tag_link( $tag->term_id );

    $html .= "Describtion for ".ucfirst( strtolower( $tag->name ) ).": $tag->description";
    $html .= "<a href='{$tag_link}' title='{$tag->name} Tag' class='{$tag->slug}'>{$tag->name}</a>";
    }

$html .= '</div>';
echo $html;

This is more or less what I want.

BUT…. how can I show this output on the Home Page only?

I assume I need to create a new file?