The Duke and Duchess of Cambridge are relocating out of Kensington

The Duke and Duchess of Cambridge are set to move their family out of London during school term time, in a bid to give their children a "normal" family life, a royal source told multiple publications.

According to the royal source, Prince William, Kate and their children -- Prince George, nine, Princess Charlotte, seven, and Prince Louis, four -- will live in Adelaide Cottage, a four-bedroom house in the grounds of Windsor Castle, Berkshire, about 25 miles from London.

The move will bring the family closer to both Queen Elizabeth II, who also resides in Windsor Castle, and Kate's family, who live in the same county area.

The Cambridges' current residence, Kensington Palace, will remain the family's principal residence, however, according to the royal source. The decision to move the children's school was announced by Kensington Palace in a statement on Monday.

According to the statement, the couple's three children, Prince George, Princess Charlotte and Prince Louis, will all move to Lambrook School, a prestigious fee-paying school near Windsor.

The school is described on its website as a "leading co-educational Prep School for 615 boys and girls aged 3 and 13, set in 52 acres of beautiful Berkshire countryside."