Members of the Welsh Guards will also be among service personnel acting as bearers.
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The Welsh Guards, First Minister Carwyn Jones, schoolchildren and the public attended the official opening on Wednesday.
In another move, the 1st Battalion Welsh Guards will move from Hounslow, west London, to Pirbright in Surrey.
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He is part of 1st Battalion Welsh Guards, who suffered high levels of casualties during their last tour.
The Motts survived the Argentine attack on the Sir Galahad in which 48 men - 32 Welsh Guards - died.
The Welsh Guards also played a prominent role in the funeral with two members commanding the pall bearers at the procession.
The Welsh Guards he commanded were in awe of his levels of fitness, and enjoyed his sense of adventure and fun.
The ceremony started at 10:00 GMT and included a march by the Welsh Guards, the planting of crosses and two minutes' silence.
Eight standard bearers from the Welsh Guards lowered their flags in tribute as the hearse was driven into the grounds of the chapel.
Later in the day, a soldier from the Princess of Wales's Royal Regiment, attached to 1st Battalion Welsh Guards, died of a gunshot wound.
Members of the Welsh Guards, which suffered heavy losses during the Falklands War, will be among 700 armed forces personnel involved in the funeral.
Eight Welsh Guards soldiers, making up the bearing party, then shouldered the coffin and carried it into the chapel as Col Thorneloe's family watched.
The 1st Battalion The Welsh Guards will move from Hounslow to Queen Elizabeth Barracks at Pirbright, and 8 Engineer Brigade will move to Minley.
Garrison Sergeant Major Bill Mott and Major Nicky Mott survived the Argentine attack on the Sir Galahad in which 48 men - including 32 Welsh Guards - died.
The Football League trophy will then be paraded by members of the Welsh Guards before being presented to Malky Mackay by Cardiff council leader Heather Joyce on the stage.
In June, Lt Chesterman was asked to form a Police Advisory Team working with 1st Battalion Welsh Guards Battle Group to improve the mentoring of the Afghan National Police.
Making up the eight are two men killed on Thursday: Private John Brackpool, of Prince of Wales' Company, 1st Battalion Welsh Guards, and Rifleman Daniel Hume, of 4th Battalion The Rifles.
He enjoyed a carriage procession with the Queen through Windsor to the castle where guardsmen from the 1st Battalion Welsh Guards in their scarlet tunics and bearskins formed a guard of honour.
Outside St Paul's Cathedral there will be a guard of honour for the arrival of the coffin made up of members of the 1st Battalion Welsh Guards and the Welsh Guards Band.
The parade came a day after 600 soldiers from the Welsh Guards and 200 members of the regimental association received leeks at their barracks in Hounslow, Middlesex, to celebrate St David's Day.
Other South East bases to be affected are the Folkestone home of Headquarters 2nd (South East) Brigade, which will be vacated when it merges with another brigade, and Pirbright barracks in Surrey, which will become home to the 1st Battalion, The Welsh Guards.
'Firing Line' brings together the history of The Royal Welsh regiment and the 1st The Queens Dragoon Guards - also known as the Welsh Cavalry.
One of the first to highlight his role in saving the Queen's Dragoon Guards was the leader of the Conservatives in the Welsh assembly, Andrew RT Davies.
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