GFS
Ambitious, GFS do mainly airline cadet training and their hire rates are what they are because of that. You probably wouldn't even be able to get in as a private Jo, at least that's what I'm hearing for them in Melbourne.
Go with a small(ish) school that has the right machines for your training and where you are dealt with as a person, not a number. Get to know your instructors and the CFI before you sign up (they'll talk to you about the school and about your situation and aspirations at length if they want your business), and if you have a good feeling about them as people, go and stick with them, you probably won't go wrong. Also check out if they are connected in the industry (best source: other students close to finishing CPLs/MECIRs etc.), they just might be able to get you you first gig.