In Washington, Bush will lie in state in the rotunda of the US Capitol tomorrow and Wednesday.
"I also loved to hear him explain his passion for this country - it was a true love that knew no petty boundaries or party lines", said Schwarzenegger in his message.
Bush's final day of life began with a visit from Baker, who had served him as secretary of state and White House chief of staff.
The high point of the commemorations, planned with military precision by a Pentagon task force, will come Wednesday with a state funeral at Washington National Cathedral - the first presidential funeral since Gerald Ford died in 2006.
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"As a true patriot and a visionary, President Bush will forever be viewed by people with disabilities and their families as a hero through his efforts to enact the Americans with Disabilities Act".
The casket will then be transported to the cathedral for the funeral service - the fourth there of a former president. Bush will lie in repose at the St. Martin's Episcopal Church in Houston from 7:45 p.m. ET Wednesday until 7 a.m. Thursday, and a second memorial service will be held Thursday morning at the church, starting at 11 a.m.
The train will take about two and a half hours to make the roughly 70-mile trip through Hufsmith, Pinehurst, Magnolia, Todd Mission, Stoneham, Navasota, Millican, and Wellborn.
"A handsome day In Texas - 'ceiling and visibility unlimited, ' Mr. President", he wrote, in reference to the aviation code phrase for a desirable situation, one used by Bush's family and friends to spread the news of his death.More news: Captain Marvel Gets a New Poster, New Trailer Releasing on Tuesday
"Following news of Bush's death, John Miller, President and CEO of America's VetDogs, said: "'Our thoughts and prayers are with the entire Bush family during this hard time. He then succeeded Reagan for a single term.
Bush is one of the few who had a Navy ship named after them while they were still alive.
Detail of George H.W. Bush's colorful socks at the Harvard University 363rd Commencement Exercises Ceremony in Cambridge, Mass., May 29, 2014. He suffered from a form of Parkinson's disease and was hospitalised periodically in recent years for pneumonia.
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He will be laid to rest alongside Barbara Bush, his wife of 73 years who died in April, and Robin Bush, the daughter who died of leukemia at age three.
Social media users thanked Sully for his services and commented on his and dogs' loyalty generally towards their owners.More news: Nick Jonas and Priyanka Chopra arrive in Jodhpur for wedding