I just had a car brought from Canberra to Brisbane via TNT and it was $750.
That was picked up at their depot in Canberra, but delivered to my door in Brisbane.
Sydney would be cheaper, but similar. It's around this price because you are competing for new car loads going north...moving a car from Brisbane to Canberra only cost me $300!!!
Just ring TNT Vehicle Logistics and they'll give you a quote.