Get going and Push on

Get going verb - Begin or set in motion.

Push on and get going are semantically related in advance topic. In some cases you can use "Push on" instead a verb phrase "Get going", when it comes to topics like carry out.

Push on verb - To leave a place often for another.

Get going and push on are semantically related in advance topic. Sometimes you can use "Get going" instead a verb "Push on", if it concerns topics such as carry out.