Use the standard email_to_user function and hack its arguments to do more advanced stuff. ATTENTION: adding cc and bcc headers in this way only works if you're not using smtp.
Here's how you add a Bcc header:
$from = generate_email_supportuser();
$from->customheaders = "Bcc: mysecret.address@solin.eu";
email_to_user($user, $from, $subject, $messagetext);
Update: use core_user::get_support_user();. As a matter of fact, it looks as though the customheaders should be an array now:
$from = core_user::get_support_user();
$from->customheaders = array("Bcc: mysecret.address@solin.eu", "Cc: onno@solin.nl");
email_to_user($user, $from, $subject, $messagetext);
Use html_to_text to create a proper plain text version out of your html email. Example:
email_to_user($user, $supportuser, $subject, html_to_text($messagehtml), $messagehtml);
Please note that the $user's property mailformat determines the email layout. If $user→mailformat == 1 then the html format is used, otherwise plain text. The site wide user preference default is can be retrieved through $CFG→defaultpreference_mailformat. If you use $user = core_user::get_user($user_id), then the $user will contain the mailformat property.
Sometimes you have to send e-mail to users who don't exists yet. Instead of creating a dummy user object, there is a some simple functions who can do that for you, which are called user_picture::fields() and username_load_fields_from_object().
Usually creating a dummy user object goes something like this:
$postuser = new stdClass;
$postuser->id = $post->userid;
$postuser->firstname = $post->firstname;
$postuser->lastname = $post->lastname;
$postuser->imagealt = $post->imagealt;
$postuser->picture = $post->picture;
$postuser->email = $post->email;
But you can make it easier by using the other functions to create a simple user object from the information you probably already have.
$to_user = new stdClass();
$userfields = explode(',', user_picture::fields());
$to_user = username_load_fields_from_object($to_user, $invitation, null, $userfields);
$to_user->id = -1;