Royal baby gives world the royal wave WELL-WISHERS screamed and cheered when the Duke and Duchess of Cambridge emerged from St Mary's Hospital to show off their new baby boy to the world for the first time. But there wasn't a lot of applause outside the Lindo Wing because most royal supporters had their hands full with mobile phones, cameras and tablets to capture the moment. Well-wishers stood on bins, fences and their own step-ladders to try and gain a better vantage point. Others crowded into a walkway over the road. Kate, dressed in a light blue dress with white spots, carried the future king in her arms. The tiny monarch-to-be appeared to give a royal wave as his hand briefly appeared out from a white baby blanket. The Duchess then passed their son to Prince William who was wearing slacks and a casual blue shirt. The couple appeared relaxed before the world's press, many of whom had been waiting outside the hospital for three weeks. It's believed the third-in-line to the British throne was a week overdue and the Duke made light of that on Tuesday. "I'll remind him of his tardiness when he's a bit older because I know how long you've all been sat out here," he said. Asked about the baby's hair Prince William added: "He's got way more than me, thank God." Kate told reporters it was "an emotional and special time." "I think any parent will probably know what this feeling feels like," the Duchess said. Now the world has caught its first glimpse of the royal baby, the question on everyone's lips is what he'll be called. "We're still working on a name," Prince William said. We will have that as soon as we can. George, James and Alexander are favourites with the bookies. After answering a few questions, William and Kate returned to the hospital before re-emerging minutes later with their son in a baby capsule. William secured it in the back of a black Range Rover before driving his family to their home at Kensington Palace. The Cambridges are living in the relatively modest two-bedroom Nottingham Cottage for now, while $A1.7 million renovations are completed on the much grander apartment 1A at Kensington Palace. A spokeswoman told AAP the palace wouldn't be providing a running commentary on the Cambridge's whereabouts over the coming weeks. "They need some private time together and we hope people understand that," she said. The couple may not have a conventional nanny, but rather a more modern set-up with a carer who also takes on other duties. Alan Baberstock is a patient at St Mary's public hospital directly opposite the private Lindo Wing where the royal baby was born on Monday afternoon. He made his way to the foyer barefooted and with the aid of a walking frame on Tuesday evening to try and see the future king. "I'm close, I can see ... well I can hear at least," Mr Baberstock told AAP. It's good to just be near the people who are all so happy. The 51-year-old said it wasn't too difficult to shuffle his way downstairs "and I would have come down anyway even if it was tough." A few protesters held banners and shouted that the monarchy was elitist and undemocratic, but they were howled down by the thousands of royal supporters. Joanna Ahmed, 27, travelled from her home just outside London with 17-month-old son Isaaq to witness history. She saw the Cambridges through the mass of ladders being used by photographers. "Kate looked beautiful from a distance," she said. But I want to see it on TV now, because it's closer. Ms Ahmed wasn't into the "older royals" but loves William and Kate. Earlier in the afternoon, both sets of grandparents visited the Lindo Wing. Michael and Carole Middleton were first, followed by Prince Charles and Camilla. "Absolutely wonderful," Charles said as he was bombarded by shouted questions from the assembled media afterwards. Hospital staff tried to keep the public entrances clear during the three-week wait for Kate to give birth. But they gave up on Tuesday afternoon once it became clear the Cambridges were set to depart. There was a minor scuffle as William, Kate and bub were in the spotlight when a man apparently tried to barge through one of the press pens. He was pursued by police, tackled to the ground and roughly handcuffed. As he was led away he shouted repeatedly: "But I'm a barrister."