cURL is a library to help send and receive requests to any server using PHP.
There really isn't an easier way. But there are some options:
1.) Utilize cURL to automatically send the user and whatever you want to post to the new page.
2.) Utilize a "hidden" form with a submit button that will require user intervention to push the button and submit the hidden data to the new page.
3.) Use Javascript to automatically submit the form on page load.
#3 isn't very reliable because Javascript might be turned off, or be blocked.
#2 requires some intervention, but not much. A very good alternative to cURL.
#1 is what I'd go with. It's not difficult to learn cURL (or use it).