The New Guard (either the Life Guards or the Blues & Royals) start their day by leaving their Hyde Park Barracks at 10:28 am Monday – Saturday (9:28 am on Sundays).
As a side note, you can tell the difference between the two units by their uniforms:
The Life Guards wear red tunics and have white plumed helmets, and the Blues & Royals wear blue tunics with red plumed helmets.
They proceed past Buckingham Palace, down the Mall, along St James’s Park and into Horse Guards Parade. They line up alongside the Old Guard.
The two groups face one another for around 30 minutes while the Corporal Major and the sentries of the first relief of the New Guard leave for the Guard Room.
Once the sentries of the Old Guard are relieved, they join the other soldiers in the courtyard.
Then, the remainder of the New Guard proceeds through the archway to the front of Horse Guards to take their positions.
Meanwhile, the Old Guard travels back toward Buckingham Palace, up Constitution Hill, and into the Hyde Park Barracks.
If His Majesty is in residence, there will also be a trumpeter playing a Royal Salute as the ceremony begins and ends.
It is very easy to see the Household Cavalry traveling to and from Horse Guards Parade simply by awaiting their procession from their barracks near Hyde Park Corner, down Constitution Hill, and then onto the Mall, passing a number of memorials along the way.
The New Guard will pass around 10:40 and the Old Guard will pass at around 11:30.
You can see the New Guard trotting down The Mall in our video on the Changing of the Guard at Buckingham Palace