push forward
phrasal verbpush forward 
- to continue moving or travelling somewhere, especially when it is a long distance or difficult
 
push yourself/somebody forward 
- to make other people think about and notice you or somebody else
- She had to push herself forward to get a promotion.
 
 
push forward (with something) 
- to continue with a plan in a determined way
- The government is pushing forward with its electoral reforms.