"It's a long road back," Douglas, 66, tells PEOPLE exclusively of his vow to fight the disease.
Douglas spent the Thanksgiving holiday in Orlando visiting Walt Disney World and Universal Orlando with wife Catherine Zeta-Jones, 41, and kids, Dylan, 10, and Carys, 7. A source close to the couple says of Douglas's cancer battle: "These things can either tear families apart or make them stronger. This has definitely made them even stronger."
For much more on this story, including more on Douglas's recovery, what's next for him medically and how Zeta-Jones helped him cope, pickup this week's issue of PEOPLE on newsstands Friday