To apply for a duty-free and tax-free import of household goods to Australia, you must complete and submit Form B534 (Unaccompanied Personal Effects Statement) as part of the Unaccompanied Personal Effects (UPE) process. This form requires personal details, an Australian address, and a detailed inventory of items to be imported. Upon approval by the ABF, the information can be shared with moving companies like Relocate MENA for customs clearance.