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- First glimpse of tiny prince could come on Tuesday
- Speculation over baby's name reaches fever pitch
- Multi-gun salute scheduled to celebrate royal heir's birth
- It's not known where the new family will head after leaving hospital
(CNN) -- At long last, the royal baby has arrived. The Duchess of Cambridge gave birth to a healthy baby boy on Monday, weighing 8 lbs., 6 oz, with Prince William at her side, but what will happen now? CNN runs through the expected schedule.
When will we get the first glimpse of Baby Cambridge?
In keeping with tradition, as the new parents leave St Mary's Hospital, Catherine and William are expected to appear on the steps of the building with the newborn, as Princess Diana did with Princes William and Harry. In full view of the world's media, they are expected to pause for photographs before getting into a waiting car.
Given that Catherine appears to have had a relatively normal delivery, CNN's Max Foster said that this could happen at some point on Tuesday. Some other commentators say it could take longer. The prince, who has been with Catherine throughout the labor and delivery, is expected to address the well-wishers and media gathered outside the hospital early in the day.
Catherine's mother and father, Carole and Michael Middleton, may also make a statement.
When will we find out the baby's name?
The royal baby name game has been going on since Catherine's pregnancy was announced in December and speculation has reached fever pitch.
The earliest an announcement is expected is when the new family leaves St. Mary's hospital. Prince William's name was announced a few days after birth, while his brother Harry's on departure from hospital.
Many expect Catherine and William to choose a traditional name, with George, James, Alexander, Louis and Henry, the favorites, according to British bookmakers Ladbrokes. Spencer, the maiden name of Princess Diana, is also a contender.
All births in England, Wales and Northern Ireland must be registered within 42 days of the child being born so the new parents have plenty of time to make up their minds.
But those British parents who have delayed naming their newborns in recent days -- in hope of either copying or avoiding the royal name -- will be hoping for a speedier announcement.
How will the birth be celebrated?
A multi-gun salute is set to happen Tuesday to mark the birth. The King's Troop Royal Horse Artillery in Green Park is expected to release 41 rounds, while the Honorable Artillery Company at the Tower of London will sound 62 rounds.
London landmarks have been lit up in style. Soon after the birth, Hungerford Bridge, which crosses the Thames, was lit up in blue and the London Eye was decked out in red, white and blue. A message announcing "It's a boy" was also displayed around the top of the BT Tower, while the water in the fountain in Trafalgar Square was dyed blue in celebration of the birth.
Where will they go after the birth?
The next stop for the new family may be the Queen's estate at Sandringham in Norfolk, Balmoral in Scotland, or the Middletons' home village of Bucklebury, in Berkshire, but exactly where the baby will spend its first weeks is being kept a closely-guarded secret.
Prince William is expected to take two weeks' paid paternity leave before returning to his work as a RAF pilot.
Eventually the new family will live at Kensington Palace where a new apartment is being refitted for them.
Catherine and William are said to be set on giving their baby as normal an upbringing as possible, and are reportedly not planning to employ a nanny -- though of course they have plenty of other staff to lend a hand.
What's certain is that the intense interest in the royal baby is not likely to fade any time soon.
There's already speculation on what the baby's first word will be and what university the boy will attend, with St. Andrews University in Scotland, where William and Catherine first met, the odds on favorite.
CNN's Max Foster and David Wilkinson contributed to this report.
