another-webmaster on "taxonomies"

Trying to make a function which put taxonomy and terms on posting.

It should not have a hyperlink, looking in the codex made it first easy..copy/paste/edit and done but how to do it with multiple taxonomies and terms? Seldom is shown (in codex) how to do for multiple issues/options so I am stuck. Any help would be nice.

function my_function($content) {

if (is_single()) {

global $post, $site, $article;

$terms = get_the_terms($post->ID, 'site');
$terms = get_the_terms($post->ID, 'article') ;

if ( $terms && ! is_wp_error( $terms ) ) :
   $site = array();
   $article = array();  

   foreach ( $terms as $term ) {
	$site_links[] = $term->name ;
	$article_links[] = $term->name ;
   }

   $site = join( ", ", $site_links );
   $article = join( ", ", $article_links ); 

   ?>
   <p>
   Site: <strong><?php echo $site; ?></strong><br />
   Article: <strong><?php echo $article; ?></strong>
   </p>
   <?php
   endif;
   return $content;
   } else {
   return $content;
   }
}

add_filter('the_content', 'my_function');

It shows only outcome for Article (on both), it skips Site, what am I missing or doing wrong?