Actually, it's quite easy to add/embed a subscribe button/link to your YouTube channel on your website.
You just need to implement this simple HTML code

<a href="" http://www.youtube.com/subscription_center?add_user=your-youtube-username"><im g" src="" http://s.ytimg.com/yt/img/creators_corner/Subscribe_to_my_videos/YT_Subscribe_130x36_red.png "" alt="Subscribe"/></a>