A little thought from my corner of the world.
Over here, in my experience, most small places like to employ instructors that they have trained themselves. If you move to another training establishment, you could be seen to be "poaching" a job from and up-and-coming instructor that is already training there.
We do however have a large training establishment here - CTC, anyone heard of it...?
that will take instructors from other parts of New Zealand.
(To teach all the Poms that make their way over here
)