In 1999 his father Adrian died aged 36 from what he now knows was a rare genetic form of Alzheimer's.
But, due to the nature of his disease, the 30-year-old's condition is expected to deteriorate faster, and will ultimately lead to his death.
He was warned there was a chance he had the condition when Jordan was four months pregnant in early 2016 but decided not to get tested at the time.
Doctors have warned that Daniel's young toddlers Lola and Jasper have a 50 per cent chance of inheriting the disease.
Jordan added: "We want to raise as much as possible to have a trip as a family and create memories for the kids".
According to Metro.co.uk, his 28-year-old brother, Sean, was given the all clear by doctors while his 23-year-old brother, Alex, does not want to know.
Partner, Jordan, an NHS worker, said the rush is now on to make the most of the time they have together as a family.
His partner Miss Evans, 29, said: "There are other things on Daniel's bucket list that money can't buy, for example he wants to see the twins' first day at school, but we just don't know if he will see that milestone".
Cindy has experienced stigma from people when they've learned about her diagnosis.
"We have tried to find out about getting them tested for the gene but they can not legally be tested until they are 18 and they must make the decision for themselves".
"It was particularly hard to hear that the children have a chance of getting it too".
"Daniel had a brain scan after he started feeling very lethargic in January 2016 and that's when his dad's brain samples were tested in a lab in Edinburgh and the results came back that he had Alzheimer's and Daniel may have inherited the same gene".
"It will mean a lot to be happy as a family, to look back and remember all the good times that we had". He went to the doctor and discovered he was in the early stages of Alzheimer's.
"As my memory fades I'm hoping this will create lasting memories for my partner and our children so that one day they can look back on the videos and photos of us all together and cherish the memories".
"We were hoping to take them when they were older and can remember it, but that is not a possibility now".
The couple, who met 12 years ago, have started a JustGiving page to raise money to take their kids to Disney World, Florida.
The money they raise will cater towards helping Mr Bradbury finish his bucket list, which includes activities such as sky diving with his two brothers.
Clare Walton, from Alzheimer's Society, said: "Dementia is not a natural part of ageing and it doesn't just affect older people".
They are hoping to go this summer because they fear Daniel's symptoms are only getting worse.
"Over 40,000 people under 65 in the United Kingdom have dementia, including people in their 30s and 40s".
To tackle stigma, the Alzheimer Society is letting the experts - people affected by dementia - do the talking.