@Arch_Fshr0006 There's always that catch-22 concept here in Australia (can't get a job without local experience, can't get local experience without a job). Local experience means Australian working experience. Once you arrive though, I recommend attending networking events to meet people from the industry, hopefully approaching them if they have openings would work out. I've talked to some industry professionals and archi students, many of them got their jobs from contacts/networks. Apply for smaller firms to gain local experience, before moving up to larger firms (if that's what you're aiming for).
Architectural registration in Australia is optional if you're working in an architecture firm, but it can potentially bump up your pay award (they have specific minimum wage for architecture industry). If you really want to get registered here, the "easiest" path (in my opinion) would be to study an accredited Master of Architecture degree (not all master-level archi-related degree is accredited by AACA; sadly mine is not), afterwhich you'll have to apply for verification of your degree.
And then, same concept as registration in PH, you'll have to do the logbook thing, and then sit for the exam, as well as an interview. Registration is quite a long process, so if you find a job after getting your PR, make sure your employer could be a good mentor and support during your registration process (I think most of them are, architects I've met here are really nice).
Studying as a domestic student (Australian PR) won't necessarily reduce your tuition fees, though---at least in the MArch degree. It's gonna cost you AUD 30,000-40,000 per year on a full-time study. Most of the MArch students I've met here are studying full time, only a few are doing it part-time (due to family or work commitments). If you're thinking on working "full time" and studying part-time, not all uni will have classes scheduled on the weekend. At USyd, MArch units/subjects are scheduled on weekdays only, and they're during the daytime, so if you're working, you might be able to work only 4 out of 5 weekdays.
I suggest you do your own research as well regarding the options most applicable (and amenable) to you.
[https://aaca.org.au/registration-as-an-architect/](https://aaca.org.au/registration-as-an-architect/)