Here's a good way to using parse_url () gets the youtube link.
This function I used in many works:

<?php
function youtube($url, $width=560, $height=315, $fullscreen=true)
{
    parse_str( parse_url( $url, PHP_URL_QUERY ), $my_array_of_vars );
    $youtube= '<iframe allowtransparency="true" scrolling="no" width="'.$width.'" height="'.$height.'" src="//www.youtube.com/embed/'.$my_array_of_vars['v'].'" frameborder="0"'.($fullscreen?' allowfullscreen':NULL).'></iframe>';
    return $youtube;
}

// show youtube on my page
$url='http://www.youtube.com/watch?v=yvTd6XxgCBE';
 youtube($url, 560, 315, true);
?>

parse_url () allocates a unique youtube code and  put into iframe link and displayed on your page. The size of the videos choose yourself.

Enjoy.