My husband is an American citizen while I'm an Australian. We intend to move to Australia in few years. We reside in the USA at the moment. If I transfer my husband's saving to my Australian bank now, will I get taxed on that money? Or does he need to report somewhere in his next tax return?
My understanding is that the only tax implication is that any interest income earned on foreign accounts is still taxable in the US if held by a US citizen.
If the total across foreign accounts totals more than $10,000 you'll have to report those accounts to the Treasury via FinCEN Form 114, this doesn't create any additional tax obligations, it's just a regulatory measure to stop people from hiding money overseas and not paying tax on those earnings.
If the US account is only in your husband's name, and the Australian account is only in your name, there may not be any reporting requirement to the Treasury. Money transferred between spouses is not subjected to gift-tax.