You've got options. TinyURL would work, but it looks kinda non pro. You can also setup a php file on your server (amazon.php maybe) and in it put the following:
<?php
header('Location: http://blahblah.amazonlink');
?>
Then, link your visitors to
http://yourdomain.com/amazon.php
Or, name amazon.php index.php but otherwise leave it the same. Make a directory on your site named amazon and send your users to
http://yourdomain.com/amazon