The Middleton family has converged on Kensington Palace. Grandmother Carole and aunt Pippa are the latest arrivals to visit the brand new royal baby.

Getting Their Quality Time

The Middletons are visiting mother-of-three Kate as she recovers from the birth of her little boy, born on Monday. Carole Middleton, grandmother to the little fellow, arrived on Wednesday for a cuddle with the new baby.

Meanwhile, Prince William tended to his duties at the Anzac Day memorial service on Wednesday, at Westminster Abbey, before hurrying home for much-needed family time.

Carole, who's known for being very hands-on with her grandchildren, also picked up Prince George from school.

"She adores being a granny and always tells people, 'I'm loving it,' " a source close to the family told PEOPLE.

An Inspiration To Her Daughter

Carole Middleton is highly involved in her family's life. The ex-flight attendant, who founded a successful business with husband Michael Middleton, is there for Kate and William whenever they need her. She even took care of the children during the royal couple's trip to India in 2016.

Her daughter's attitude to life is widely believed to influenced by her mother.

"I don't think anything fazes [Kate] - she just takes everything in her stride. A lot of this comes from her mum. Carole's lovely, and she just doesn't let anything faze her," an insider told PEOPLE.

Along with Kate's mother, her father, Michael, and younger brother, James, also paid a visit to Kensington Palace to see the new baby.

A Visit From Aunt Pippa

Likewise, Pippa Middleton, who's pregnant herself, was one of the first visitors earlier this week. Pippa, who's expecting her first child with husband James Matthews, appeared to meet her new nephew on Tuesday. Dressed comfortably in a pink coat and oversized pink turtleneck, she was all smiles when photographed by awaiting paparazzi.

News of her pregnancy broke on Saturday, just a couple days before Kate gave birth. She and Matthews got hitched last year, on May 20, at St. Mark's Church in Englefield, with Prince George and Princess Charlotte playing pageboy and bridesmaid.

Prince Harry and Meghan Markle, who are due to tie the knot on May 19, live close by and are expected to meet the little prince shortly.

A Warm Palace Welcome

Prince Charles, who joked about how he can't keep up with all his new grandchildren, will likely visit the palace once he returns from France. Queen Elizabeth, meanwhile, celebrated the new arrival with a quick ride on horseback around the grounds of Windsor Castle. She's currently staying there while her husband, Prince Philip, recovers from hip surgery.

The palace released a heartwarming statement in the wake of the baby's birth.

"The Queen, The Duke of Edinburgh, The Prince of Wales, The Duchess of Cornwall, Prince Harry and members of both families have been informed and are delighted with the news," it read.

Alexander Or Jerry?

Although the royal baby was born a few days ago, his name is still unknown. Sources from the palace confirmed it would be revealed in due course, Albert and Arthur are said to be the most popular name choices, according to bookies.

Prince William may have already let it slip during ANZAC Day, after being asked by Australian High Commissioner Alexander Downer whether he'd consider using his name.

William acknowledged that Prince Alexander had a nice ring to it, only for New Zealand's Sir Jerry Mateparae to throw his own name in as a possibility.

The latest royal baby is fifth in line for succession to the throne following Prince Charles, Prince William, Prince George, and Princess Charlotte.