Method for managing a process for building tyres for vehicle wheels between a steady-state operating condition and a drum-change operating condition, comprising, during the steady-state operating condition: - sequentially and cyclically moving N drums configured for a first size along a building path comprising a first path, with N being an integer greater than or equal to 1, wherein: - the movement along the first path is carried out by moving, with a moving device, one of the N drums configured for the first size at a time, coupled with a first pair of axially opposite support elements, said first pair of support elements being coupled with the moving device and being configured for said first size; and wherein: - during the drum-change operating condition to a second size, the method comprises the replacement of said first pair of support elements with a second pair of support elements configured for said second size, said replacement comprising, after a last drum of the N drums configured for the first size exits from the first path: • coupling said first pair of support elements with a first connecting shaft, • moving, with the moving device, said first pair of support elements coupled with said first connecting shaft along said first path, • releasing said first pair of support elements coupled with said first connecting shaft at the end of the first path after having decoupled it from the moving device, and • after said first pair of support elements coupled with said first connecting shaft exits from the first path, coupling said second pair of support elements with said moving device. - sequentially and cyclically moving N drums configured for a first size along a building path comprising a first path, with N being an integer greater than or equal to 1, - the movement along the first path is carried out by moving, with a moving device, one of the N drums configured for the first size at a time, coupled with a first pair of axially opposite support elements, said first pair of support elements being coupled with the moving device and being configured for said first size; and wherein: - during the drum-change operating condition to a second size, the method comprises the replacement of said first pair of support elements with a second pair of support elements configured for said second size, said replacement comprising, after a last drum of the N drums configured for the first size exits from the first path: • coupling said first pair of support elements with a first connecting shaft, • moving, with the moving device, said first pair of support elements coupled with said first connecting shaft along said first path, • releasing said first pair of support elements coupled with said first connecting shaft at the end of the first path after having decoupled it from the moving device, and • after said first pair of support elements coupled with said first connecting shaft exits from the first path, coupling said second pair of support elements with said moving device. • coupling said first pair of support elements with a first connecting shaft, • moving, with the moving device, said first pair of support elements coupled with said first connecting shaft along said first path, • releasing said first pair of support elements coupled with said first connecting shaft at the end of the first path after having decoupled it from the moving device, and • after said first pair of support elements coupled with said first connecting shaft exits from the first path, coupling said second pair of support elements with said moving device.