the warp root method is extremely rare, we basically had a wide open kernel/recovery so rooting was as simple as pushing superuser/supersu to the system and replacing the recovery was as simple as flashing it through the unsecured stock recovery, they don't check that the signature matches the warp stock signature, only that it's signed so you can flash ANYTHING through the stock recovery. I just took that a step further and put it all in a nice zip...
I have a note 2 now that's basically the same security as the s3, I don't know about other carriers, but on verizon you have to use an exploit to root and it requires a computer and odin etc, it's really easy but takes some computer work, here's the root method I found for the s3, for the note 2 someone scripted out a java app to do all of those steps automatically, but you still needed a computer:
http://forum.xda-developers.com/showthread.php?t=2046439
Wish I had a better answer, we were just lucky with the warp and you probably won't see anything like that on any samsung phones anytime soon. It's not hard but you do need to use a PC at this point.