Those reflections will continue throughout the week, when Bush's casket travels from Houston, Bush's hometown, to Washington, DC to lie in state in the United States Capitol.
The casket will be accompanied to Joint Base Andrews, outside Washington, by the 43rd president, Bush's son George W Bush; his wife, Laura; his brother Neil Bush and his family.
He said Bush was the first president he ever voted for and was "the first president to teach me and many of us that in a democracy sometimes you fall short", and how you handle that, "is just as important as how you win".
His remains will arrive in Washington on Monday, and he will lie in state at the Capitol through Wednesday.
A similar outpouring is anticipated in Washington this week during the state funeral for Bush, who died late on Friday at his home in Houston.
Colorful socks were one of the former president's favorite fashion accessories.
Following the funeral in Washington, Bush's casket will be returned to Houston, where a private service is scheduled for Thursday.
Washington to pay respects, bid farewell to George H.W. Bush
Millie was famously referenced during the 1992 presidential campaign, when Bush said, of Bill Clinton and Al Gore, "My dog Millie knows more about foreign affairs than these two bozos".
He failed to win a second term after breaking a no-new-taxes pledge.
The high court will be closed on Wednesday in recognition of the national day of mourning, rescheduling that day's oral arguments over Gamble v.
Remembrances to George and Barbara Bush sprang up in the Houston neighbourhood where they made their home, at a memorial to President Bush at a city park and at the airport named in his honour.
Social media users were moved to tears after a picture was shared of George HW Bush's service dog asleep next to his coffin.
As of Monday morning, all living Presidents are expected to attend Bush's funeral on Wednesday at the Washington National Cathedral. There, he will help wounded veterans and service members during their recovery.
The two-year-old labrador was assigned earlier this year as a service dog to Mr Bush who used a wheelchair in the last years of his life. His body will then be transported by a special train to its final resting place, the Bush Presidential Library in College Station, Texas.
Marine Planes Crash Off Japan Coast, Search and Rescue Underway
The aircraft - a KC-130 and an F/A-18 Hornet - had launched from Marine Corps Air Station Iwakuni in southern Japan. A search and rescue operation is under way in Japan after an incident involving two US Marine Corps aircraft.