If I can not carry it myself, I've had good experiences with Loadshift and Freightmatch where the transporter bids on your shipment.
Tip, I always use owner drivers cause they take great pride in their trucks which is reflected in the way they will treat you and your requirements.
http://www.loadshift.com.au/cargo-ca...transport/car/
https://www.freightmatch.com.au/
I'm sure there's other car transporters on here.
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In order that the labour of centuries past may not be in vain during the centuries to come...... D. Diderot 1752