Meghan and Harry have "set a game plan" to ensure their child has a "normal upbringing" which will include doing chores and using public transport, insiders say.
The Duke and Duchess of Sussex - who are expecting their first child in the Spring - want to "bring up children who know the values of normal things in life".
Meghan, 37, is said to be keen to make sure her children are not spoiled, and will even take her "kids on a subway", or the Tube.
The couple's unborn child is not likely to have a Prince or Princess title, unlike cousins Prince George, Princess Charlotte and Prince Louis.
Speaking to US Weekly, royal correspondent Omid Scobie said Harry and Meghan will be "changing the royal parenting rules", and have "set a game plan" for how they want to raise their children.
He said: "Meghan will take her kids on a subway. They'll have chores, and jobs one day. They won't be spoiled."
It comes after it was reported that Harry and Meghan would not be seeking a royal title for their first child, to enable them to lead a normal life.
If the new royal baby is a boy, he will likely become the Earl of Dumbarton, a subsidiary title given to Prince Harry on the day of his wedding, while a girl would become Lady Mountbatten-Windsor.
As Harry is not in direct succession to the throne, the couple's baby will be unlikely to be a full-time royal.
The Duke and Duchess are thought to be considering following in the footsteps of Princess Anne who famously turned down the offer to give her children royal roles in a break from tradition.
Both Zara Tindall, formerly Zara Phillips, and Peter Phillips do not carry a royal title, unlike their cousins Princess Eugenie and Princess Beatrice.
The latest reports come after it was suggested Meghan's mother Doria, 62, is set to get her own place in the UK in order to be closer to her grandchild.
The yoga instructor, who is currently based in LA, is understood to be considering spending part of the year in England.
Before Meghan's pregnancy was announced, Doria was said to have been taking baby-care classes near her home.