Have both buttons submit to the current page and then add this code at the top:
<?php
if(isset($_GET['firstButtonName'])
header("Location: first-target.php?var1={$_GET['var1']}&var2={$_GET['var2']}");
if(isset($_GET['secondButtonName'])
header("Location: second-target.php?var1={$_GET['var1']}&var2={$_GET['var2']}");
?>
It could also be done using $_SESSION if you don't want them to see the variables.