The family told ABC News they feel joy and elation, but still feel nervous.
"You can never predict what can happen but these little guys are definitely survivors," said David Ezell, the father of the twins.
"I'll finally have my family together but we are about to face some serious challenges," he added. "The really frightening life-or-death stuff is behind us, but now we worry how about how we are going to pull the rest of it off."
While in the rehabilitation facility, Jenni and David Ezell will learn how to clean their sons' tracheal tubes, manage the home ventilator that helps them breathe and work with Owen and Emmitt on rehabilitation exercises.
Jenni Ezell said the tasks seem daunting, but she's looking forward to caring for her children without relying on a team of doctors and nurses.
"I think my 7-year-old will at least help with diaper duty, though I guess it depends on what kind of diaper we're talking about," she laughed.
The mother said she's grateful their biggest challenge will now be learning to tell the boys apart.
Dave Ezell told ABC News anyone who spends a little time around Owen and Emmitt can easily tell them apart from the different personalities.
"Owen opens his eyes a little bit wider and is a little more excitable. Emmitt is more relaxed. His eyes are usually softer and more closed," he explained.