AMM - I originally trained in NZ and obtained my NZ CPL (H), I then went to Australia and did a conversion in order to try and find a mustering job. Unfortunately Australia were more interested in plumbers than pilots so my visa application was denied.
I am now in the process of obtaining an EASA licence but due to a change in my life I only require a PPL, which shouldn't be too much of a biggie.
My advice would be either - convert to EASA or FAA and be prepared to travel, a lot.