We did it too. Two cars at two different times and the household stuff at another time.
Also when I wanted to bring some stuff from my mum’s place from the UK after she’d died that was also considered as part of our move here as it was within 12 months of the move.
What documents did you need to provide re the car?
This is what I see for the regular import (when you pay VAT) since this is household goods - wonder if it is the same list of docs required for the car?
1.Invoice and/or contract of sale
2.Vehicle/vessel registration document and/or registration certificate (even if already cancelled)