First, shim the hinge that needs to push the door out, you don't need much here.
See what that has done for the one that has the door sticking out, you may need to remove the hinge and grind a bit off the surface to make it slightly thinner again, you don't need to remove much.
What should I use for a shim? Thin pieces of metal between the hinge and the door? or hinge and the body? Is this process written down any place or is it another 'earn an you learn' type deal?
I'm sure it'll make sense once I stuff the first shim or two in there.
Thanks for the quick replies!