It will depend from which country you are shipping your stuff.
If you are based in UK, you might do a google search for shipping compagnies for the Magic Kingdom, and specifically to Dammam.
Also, you have to take into account that The Saudi customs are very strict on books shipped from outside, your shipping will be scrutinised, and any book, magazine, or DVD which do not pass the "red lines" of the Magic Kingdom, will be confiscated, and your shipping will be delayed for months!
I do not think that you can ship ypur stuff to your university before you arrive there, you need a contact name and a personal address for your shipping.
Just make sure that your books, DVD, magazines can pass the "red lines" test, especially books about religion, or any book/magazine which contain topics which are "sensitive" to the culture of the Magic Kingdom.
I have been offered a post at the University of Dammam and about to ship my books and stuff to Dammam. As far as I know, all Saudi Arabian universities do not provide a relocation allowance, I wonder how all of you manage your belongings. Below are my queries.
1. I am thinking of 'TNT' which is the company I once used long time ago. Have you got any other reliable shipping companies you want to recommend?
2. Is it possible to send our stuff to the University or the company depot before we present there?
Any suggestions are appreciated. Many thanks.