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<!-- User profiles in WordPress have these fields for Contact Info by default: E-mail, Website, AIM, Yahoo IM, Jabber / Google Talk. You can remove those and add new ones as you wish, like in this example code for your functions.php file in your theme: -->

function new_contactmethods( $contactmethods ) {
   $contactmethods['twitter'] = 'Twitter'; // Add Twitter
   $contactmethods['facebook'] = 'Facebook'; // Add Facebook
   unset($contactmethods['yim']); // Remove YIM
   unset($contactmethods['aim']); // Remove AIM
   unset($contactmethods['jabber']); // Remove Jabber

   return $contactmethods;
}

<!-- To display that publicly, you could: -->

$user_id = 1;
$key = 'twitter';
$single = true;

$user_twitter = get_user_meta( $user_id, $key, $single); 

echo $user_twitter;