No peat!! I would take it out of its pot and plant in sand or cactus mix.
I will tell you how tough these are: we replanted one at the Botanical Garden where I work, it was a big plant and hard to handle (THORNS!) so they picked it up with a digger, drove it to its new location and basically half-buried it with a heap of sand. I was appalled and made lots of noises about it dying, but everyone assured me it would be fine and yes, it lost all its leaves and looked sick for about two weeks but now it's thriving and blooming...... so accept a little setback, but I bet that peat is keeping it soggy!
