Hello.
Yes, you're right that you (and your daughter) can get Residence in NZ on the strength of being Australian.
http://www.dol.govt.nz/immigration/k...base/item/1068 Since you're making NZ your home, you will probably want to qualify for PR, so bear this in mind.
http://www.dol.govt.nz/immigration/k...base/item/5323
Yes, once you have Resident status, you will be able to sponsor your husband for Residence
http://www.dol.govt.nz/immigration/k...base/item/1121 (as long as you can show proof you have lived together for at least 12 months, otherwise he will have to apply for a partner-sponsored work visa first, and build up to the 12 months' proof), upon showing that NZ is now your permanent place of residence.
http://www.immigration.govt.nz/migra...nersstatus.htm
As a UK passport holder, he would be able to enter as a visa-waiver visitor (simply filling in a card on the aeroplane) for six months, and extend that, and this would normally be WAY more time that it would take to have a partner-sponsored Residence processed (assuming satisfactory partnership proof, and no problems with character or health certificates). However, if he entered WITH you and your daughter, if you were looking to get Residence stamped in your passports upon arrival, there could be difficulties for him: being a visitor implies an intention to leave again, and, in most cases, that you hold a ticket out before you're allowed to board a plane in, so it would be obvious his situation wasn't straightforward. INZ officials at the airport are responsible for being alert to people who don't fit the profile and might end up as overstayers/illegals.
Anyway, assuming that you all arrived in NZ (passing over for the moment when you stated to the authorities your intention to be resident), there is no provision for any 'bridging visa' that would allow him to work. The partner-sponsored visas, whether the work visa or Residence, are among the quickest to be processed, but he would be a visitor in the meantime. If he wanted to apply for a work visa in his own right on the basis of his skill as a plasterer, he would be on the same terms as anyone else with NO connection to a NZ resident - see the Immigration NZ website Find A Visa section - and even with all the necessary qualifications, and a job offer, could not expect the visa to go through more quickly than a partner-sponsored one. And he still could not work on his visitor visa while waiting. YOU, an Australian, could immediately take any job offered to you, but he would need to wait for the appropriate visa.