Once a page has done its processing, you can use header to go on to a new page. It might look something like this:
# process form variables....db inserts, etc...
#
#
header("Location: new.place.com/new.php?passedvar=$passedvar");
exit;
#
#
Note: it is important to not send any output to the browser before you call header. Also, the exit is important because PHP will keep executing any php code after the header unless you use it. (This is a trivial example obviously, but in many cases you will have code after the exit, particularly if the exit is within some sort of conditional loop.)