Title Help

My default set up created titles like “Post Name | Site Name,” which I liked. I just want to change the home page to show “Site Name | Description”

I don’t usually play with the PHP so right now I have the home page correct but the description also shows on the rest of the pages after “Post name | site name”.

<?php
if( function_exists(is_tag) && is_tag() )
{ _e('Tag:'); }
elseif( is_category() )
{ _e('Category:'); }
elseif( is_404() )
{ _e('Not found'); }
elseif( is_search() )
{ _e('Search'); echo " &quot;" . wp_specialchars($s, 1) . "&quot;"; } wp_title('');
if( ! is_home() )
{ echo " | "; } bloginfo('name');
if( is_home() )
{ echo " | ";} bloginfo('description');
?>

I’m pretty sure it’s a simply modification. Any help is appreciated!