Shipping to Sydney Australia

I am a French and US Citizen who made enough money to retire at the age of 40 and I am planning to relocate to Sydney, rent a place and live there for a few years.
Being a world traveler, I have so many items from different parts of the world along with my other personal items and I hope to bring them all to Australia.
I have done some research and find below the list of the items which are not allowed;
https://usgshipping.com/Shipping-to-Australia-From-USA
It is saying any type of wood are not allowed and most of my antique furniture is made of wood. I tried to find a very specific answer as far as regulation on these items but could not really have a clear confirmation.
Does anyone here know how I can bring my antique furniture to Sydney even if the material being used are wood? These are very expensive items and I am not ready to give up on them!
Is Australia really that restricted as far as wood ?