You will not be let anywhere near a piston twin until you have a least a 1000 hours of experience under your belt
I got my first twin job on a PA31 with only 370 hours total time, so it does vary. In fact, it was my first flying job ever. That was back in the mid 80's though, and things may have changed somewhat now.
PhoenixNZ, you will probably have to move to OZ to get a GA job, if you decide to change direction & go that way. Job's in NZ are few & far between. They always have been & probably always will be.