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The PM says he doesn't think his poodle-mix would "get along" with Larry the cat, who has lived at No 10 for 15 years.
The new prime minister told Laura Kuenssberg that people "voted for a manifesto" that he would honour, when pressed on whether there will be an early general election.
See inside Andy Burnham's first week in charge, with an exclusive behind the scenes look with Laura Kuenssberg.
After becoming PM on Monday, Burnham appointed John Healey as chancellor, Ed Miliband as foreign secretary and Wes Streeting as defence secretary
The BBC's Annita McVeigh talks us through some key appointments as Andy Burnham takes office.
The BBC's Sarah Smith looks at how the new UK prime minister will manage his most crucial, and perhaps the trickiest, international relationship.
Andy Burnham has become the UK's prime minister after being appointed by the King at Buckingham Palace.
Andy Burnham spoke outside Downing Street after he replaced Keir Starmer as prime minister and leader of the Labour party.
Starmer spoke in front of an applauding crowd on Downing Street.
A warmer and less confrontational tone than usual was struck during Sir Keir Starmer's final PMQs appearance as prime minister.
The prime minister received applause and cheers from his party and other MPs after giving his final answer.
The prime minister and opposition leader spoke after the police announced a murder investigation into the death of Ann Widdecombe.
In a statement filmed by Reform UK Nigel Farage announced he will resign as an MP to trigger a by-election which he will stand in.
Trump was more 'funny' than he had been expecting, Morgan McSweeney told the BBC.
Donald Trump gives his first public reaction to the prospect of Andy Burnham becoming prime minister.
Andy Burnham is sworn in as MP for Makerfield hours after Keir Starmer announces his resignation as Labour Party leader.
The BBC's political correspondent Joe Pike outlines the highs and lows of Sir Keir Starmer's premiership.
Sir Keir Starmer resigned as PM and leader of the Labour party in a statement outside No. 10 on Monday
Sir Keir Starmer resigns as leader of the Labour Party, in a statement outside 10 Downing Street.
Andy Burnham delivers his victory speech after Makerfiled by-election.
