Kate Middleton and Prince William are "more open" and "talk about their relationship together" amid her cancer journey, a source tells PEOPLE.

Prince William and Kate Middleton's relationship has evolved with them being "more open" with each other after

Earlier today, Prince William had an official royal engagement in London, in which he visited homelessness charity Centrepoint. Just hours after his public appearance, the Prince of Wales jetted off to Monaco where he was photographed watching his favorite soccer team, Aston Villa, compete in the UEFA Champions League.

Princess Kate stayed home with Prince George, Princess Charlotte and Prince Louis as Prince William left the UK. The Prince of Wales, 42, travelled to Monaco without his wife and three children to watch his beloved Aston Villa lose 1-0 to the hosts.

Shortly before announcing her cancer is in remission, Kate rang in the new year by heading to the French Alps with her family. Prince William and their three children, Prince George, Princess Charlotte,

According to the Mail on Sunday, Kate celebrated the new year by taking a skiing vacation in the Alps. Kate was joined on the trip, which reportedly happens "just over two weeks ago," by her husband, Prince William, and their three children, Prince George, 11, Princess Charlotte, 9, and Prince Louis, 6.

It is hard for the royal family members to do the normal everyday things that commoners do, especially if you are Kate Middleton or her husband, Prince William. Kate is always in the public eye, especially in the year since her abdominal surgery turned into preventative cancer treatments and her eventual cancer remission.

Princess Kate reportedly left the UK to enjoy a ski holiday during the New Year period, alongside Prince William and their three children, Prince George, 11, Princess Charlotte, nine and Prince Louis,