move ahead/along

:  to go or pass to another place or in a certain direction with a continuous motion

:  to proceed toward a certain state or condition

:  to become transferred during play

:  the act of moving a piece (as in chess)

:  the turn of a player to move

:  a step taken especially to gain an objective :  maneuver

:  in a forward direction or position :  forward

:  in front

:  in, into, or for the future

:  in a line matching the length or direction of

:  at a point or points on

:  in the course of

:  forward, on

:  from one to another

:  in company :  as a companion