Her office has just announced details of the move, and it says the congresswoman will arrive at Hobby about 1:15 p.m. and then be transported by helicopter to the TMC.
On her way from the Arizona facility she is at to the airport there, she will be escorted by VFW members on motorcycles.
"The congresswoman rode with this group in May 2009, when they escorted the remains of Civil War-era veterans from Tucson to Sierra Vista," the office says.
Accompanying Giffords on the Challenger flight to Houston will be her husband and mother.
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The announcement outlines the route she will take from the Arizona hospital to Davis-Monthan Air Force Base for the flight to Hobby, so it sounds like it will be something of a media event.