Emigrating to Australia- should the cat come with us?

[PossumMama]

After 20 years of DH living over here in the UK we're finally going to move to his homeland (Western Australia) late this year. The kids will definitely come with us but I'm hoping someone can give me some advice as to what it would be like for a half-persian moggy to endure the long-haul flight, 10 days in quarantine and then a hotter climate.
I love the cat despite her, at times, indifference, bordering antipathy to the rest of the family, and don't know whether it's fairer to rehome her locally rather than put her through what could be a traumatic experience moving overseas. She's 6yo if that makes any difference.
Anyone been through similar?

Honestly, I wouldn't

Not only will the journey be quite stressful, but most rentals in Perth don't allow pets

I’ve just moved two of my cats to Shanghai, but left the third with my mum because she is highly strung (the cat, not my mother) and I didn’t think she’d cope. Apart from thinking it is dinner time at 2am, they haven’t batted an eyelid! Certainly much less fazed by the move than any of us.

most rentals in Perth don't allow pets

I know loads of people who rent in Perth with cats. And the rental market is flat at the moment, so I wouldn’t be deterred by that.

Dogs can be more difficult.