The TV magician, 77, was told he had terminal cancer two weeks ago, and has now left hospital to be with his loved ones.
Son Martin Daniels has told The Mirror that they are unsure how much time he has left, but are “living in the knowledge every day is a bonus”.
"He knows things are not in his hands now and we are living in the knowledge every day is a bonus.
"It is unbearably difficult. He has said before when “it’s your time it’s your time” and that’s how he is trying to face up to things."
He added that Paul has tried to remain upbeat about his diagnosis, and has launched a campaign to raise money for future research.
Doctors discovered the tumour after Paul was taken to hospital, following a fall at his home, which he shares with wife Debbie McGee.
In a statement, his publicist said at the time: "We can confirm that one of our greatest magicians and entertainers of all times, Paul Daniels, has sadly been diagnosed with an incurable brain tumour.
"On behalf of Paul, Debbie [McGee, his wife] and their families, we thank you for your kind concerns and support at this sad time and ask that their privacy continues to be respected."
Paul is best known for his work as a magician, having made his TV debut in an episode of ‘Opportunity Knocks’ in 1970, where he finished in second place.
In the late 70s, he appeared on the BBC series ‘For My Next Trick’, eventually landing his own magic show ‘The Paul Daniels Show’, which ran for 15 years until it went off the air in 1994.
He also had his own show, named after his catchphrase, ‘That’s Magic’, during which time he worked with Debbie McGee as his assistant, who he would eventually go on to marry.
More recently, Paul became better known for his appearances on various reality TV shows, where he was often accompanied by Debbie.
Together, the pair competed on the only celebrity series of ‘The X Factor’, as well as on ‘Celebrity Wife Swap’ and the notorious Channel 5 series, ‘The Farm’.