What is the name of the movement which is carried out by plane beginning from the runway and ending at takeoff?
Takeoff Roll

As per the FAA handbook (page 5-2) 


  
  Takeoff roll (ground roll) is the portion of the takeoff procedure
  during which the airplane is accelerated from a standstill to an
  airspeed that provides sufficient lift for it to become airborne.
  


And after that 


  
  Lift-off is when the wings are lifting the weight of the airplane
  off the surface. In most airplanes, this is the result of the pilot
  rotating the nose up to increase the angle of attack (AOA). >
  The
  initial climb begins when the airplane leaves the surface and a climb
  pitch attitude has been established. Normally, it is considered
  complete when the airplane has reached a safe maneuvering altitude or
  an en route climb has been established.