Duchess and Prince William enjoy 'quiet time' with baby
Prince William, Duke of Cambridge and Catherine, Duchess of Cambridge, depart St. Mary's Hospital with their newborn son on Tuesday, July 23, in London. The boy was born at 4:24 p.m. Monday, weighing 8 pounds, 6 ounces.
First look at the royal baby
NEW: The Duke and Duchess are enjoying private time with their newborn
Prince Harry and Queen Elizabeth II visit Kensington Palace to meet the baby
The couple have not yet announced a name for the boy, now third in line to the throne
Catherine says, "It's such a special time," while William says, "He's got her looks, thankfully"
London (CNN) -- The Duke and Duchess of Cambridge are enjoying "private and quiet time" so they can "get to know their son," a Kensington Palace spokesman said Wednesday.
British media have reported that the couple and their newborn son are now in the village of Bucklebury, where the new mother's parents live.
The downtime comes after Prince William and his wife, Catherine, introduced their infant to more royal visitors, giving the world its first glimpse of the future king as they left the hospital.
Queen Elizabeth II went to Kensington Palace Wednesday morning to see the newborn for the first time and uncle Prince Harry visited, too, according to the Palace.
William, Catherine and the baby left the palace by car around lunchtime, headed to Catherine's parents' home in Berkshire, according to UK media reports.
The couple have not said where they plan to spend the baby's early days.
The family's emergence Tuesday evening from the Lindo Wing of St. Mary's Hospital in London marked the end of a long wait for the throngs of journalists camped outside.
There's just one detail left to wait for now -- the little prince's name.
He and his wife are "still working on a name," William said on the hospital steps, "so we'll have that as soon as we can -- it's the first time we've seen him really, so we're having a proper chance to catch up."
The internal renovation work at Kensington Palace is due to be completed in the fall. The duke and duchess' staff will also move into refurbished offices there, according to Buckingham Palace accounts released last month.
The late Diana moved into Kensington Palace upon her marriage to Prince Charles in 1981 and brought up William and his brother, Harry, there. When she died in 1997, streams of mourners laid flowers and tributes outside its gates.
On Tuesday, London echoed with the sound of cannon fire and peals of bells to mark the birth.
Big day for Britain's newest royal
Big news in Britain
Photos: Reaction to royal baby's arrival
Many bets are being placed as the wait continues for the baby's name to be announced. British bookmakers Ladbrokes have George and James as favorites Wednesday, followed by Alexander, Arthur, Louis and Henry.
William's name was announced a few days after birth; his brother Harry's upon leaving the hospital.
Shortly before the new baby's departure from St. Mary's, Prince Charles stopped by for a brief visit with his first grandchild, accompanied by his wife, Camilla, the Duchess of Cornwall. He told reporters it was "marvelous."
And Catherine's parents, Carole and Michael Middleton, visited earlier, with the grandmother telling reporters the royal baby is "absolutely beautiful."
She said both mother and baby are doing "really well" and that she and her husband were "so thrilled" at being grandparents.
"It was so exciting. It was fantastic," said Eliza Wells, one of the well-wishers gathered outside the hospital. "The crowd erupted, because everyone's been waiting so long for it."
William and Catherine "both seemed very relaxed, even with the press there and the crowd," Wells said. "They just seemed like a normal couple."
A normal life?
Royal commentators said the Duke and Duchess of Cambridge will try to give their son as regular an upbringing as possible.
But the intense media interest in the birth of the new prince highlights the challenge his parents face in trying to protect his privacy and maintain a degree of normalcy.
"This baby has two things stopping it from being normal," historian Kate Williams said. "No. 1, it lives in a life of incredible wealth and privilege. ... No. 2, it is an incredible celebrity, and we've seen this with the coverage."
But Prince William loved that his mother tried to give him as normal a childhood as possible, including trips to the cinema and an amusement park, and sending him to a local private school as a boy -- "and that's what he wants for little baby Cambridge."
Although the excitement over his birth is not universal, there's no doubting the level of global interest in the prince.
On Monday, there were more than 19 million Facebook interactions related to the royal baby, Facebook said. His birth also took Twitter by storm.
As well as ruling the United Kingdom, the boy could one day be king of 15 other Commonwealth countries that have the British monarch as head of state if none change their constitution in the meantime.
They include Australia, Canada, New Zealand, Belize and Jamaica