Remove Links from tags

Hey there,

i try to remove the tag-links from my search results on this site:
http://secondsuspense.com/portfolio/

I found this code:

<?php
    $posttags = get_the_tags();
    if ($posttags) {
      foreach($posttags as $tag) {
        echo $tag->name . ' ';
      }
    }
?>

http://codex.wordpress.org/Function_Reference/get_the_tags

But i don’t know where to paste it. Could you please help me with that?

Best regards
Max