Greenslip = 3rd party compulsory insurance ( this is minimum insurance that is required every time you renew the registration ) if yearly every year Pink slip ( is a safety check done by a qualified mechanic every time the registration is renewed)
Blue slip ( is a safety check that is more detailed than the pink slip as it is done when the car has not been registered in the last 3 months , if the car is an import or transfer from another state, Basicaly its a pink slip that is more full on as the car would be unregistered and it needs to be deemed safe for roads
registration depends on the model, type , weight of the car so the NSW RTA (roads and trafic authority ) or as they are now known the RMS (Roads and Maritime Services) will have a record of all those details and together with the blue slip or pink will calculate a registration fee
to transfer registration you will need to pay a fee at the RTA (RMS) all these details should be on the RTA website http://www.rta.nsw.gov.au/registration/index.html
PS once the registration expired you will need to pay for Green slip again and then get a pink slip form a Mechanic registered on the NSW system and finaly re register it at the RTA (you may need an address here stating that you live in NSW)