Why are you so keen specifically on the type of aircraft?
If you want to be an instructor, I would suggest that you target schools with a reputation for good quality training, an environment you'd be happy to work in, the type of courses (PPL/IMC/CPL/IR/etc) you're interested in teaching, CFI you get on well with, and so on. The type of aircraft the school uses to teach on would be right at the bottom of my list of criteria.
As others have said, though, I doubt any school would pay much attention to which type of aircraft you've flown previously, because a) they will give you a checkout on type before you start instructing, and b) teaching climbing, descending, straight+level, etc is pretty much exactly the same regardless of which type you are teaching on. They will be far more interested in how diligent you are on your FIC, or, for your second job, what kind of work you did in your first job and how good an instructor you've become.
Good luck!
FFF
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