You've got a Crossbreed Supertuck. There are no thumb straps to deal with and with the exception of the "body side", all else is kydex. There really shouldnt be much to break-in other than working the leather side. I would just manipulate the leather; bend it back and forth in all directions to help loosen the grain. You dont want to be too agressive and fold the leather, but give it a good work. That ought to help it conform to your body. To finish the job, just wear it and draw, wear it and draw, wear it and draw. Not much else to it.
Oh, make sure your pistol isnt loaded while breaking in the holster