typically using the header() function is quick and easy.
<?php
if ($_POST) {
[the code you have for handling the submit]
....
....
//Ok done, lets move them on.
header(Location: "
http://somewhere_else_but_here");
}
?>
<html>
<body>
page content
</body>
</html>
This would be placed at the top of the page after all your post work is done.