Move off
Definition 1 of 2
Pro Tip 1/3Physical Movement
Move off refers to the action of a vehicle or person starting to move. 
The athlete waited for the signal to move off.
Pro Tip 2/3Traffic Context
Often used to describe vehicles in traffic situations, from cars to bikes. 
When the light turned green, the cars started to move off.
Pro Tip 3/3Immediate Action
Implies an action happening shortly after a pause or stop. 
He quickly checked the map before moving off again.