Australians should get a chance to see the future king of Britain next year with Prince William and his wife Kate planning to visit Down Under with baby George.

Speaking at the Anglesey Show on Wednesday, the Duke of Cambridge announced he wouldn't be taking on another tour of duty in Wales when his stint as an RAF search and rescue helicopter pilot ends in September.

Instead the new family is expected to move permanently to Kensington Palace in London, with William taking on more royal duties.

Those duties will include, it now seems, an official visit to Australia in 2014.

Speaking to Max and Maxine Davies from Victor Harbor near Adelaide on Wednesday the Duke of Cambridge said: "George is doing really well, thank you."

"We are all very hopeful of coming to Australia next year," William added, according to media reports in the UK.

Mr and Mrs Davies, aged 77 and 75 respectively, later said they were thrilled at the prospect of a royal visit.

"We are on holiday here and can't believe we got to talk to him," Mrs Davies said at the show, according to British tabloid The Daily Mail.

"How wonderful that the family will come to Australia to visit."

Prince William was just nine months old when he himself was first taken on a trip Down Under by Prince Charles and Princess Diana.

The new prince was born just over three weeks ago and the miniature monarch-to-be was named George Alexander Louis two days later.

Prince William joked about his young son at the Anglesey Show on Wednesday.

"He's pretty loud but of course very good looking," he said.

"I have to say that I thought search and rescue duties over Snowdonia were physically and mentally demanding but looking after a three-week-old baby is up there."