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Wiktionary
get moving

vb. (context idiomatic English) To start hurrying to undertake a task.

WordNet
get moving

v. start to be active; "Get cracking, please!" [syn: get cracking, bestir oneself, get going, get weaving, get started, get rolling]

Usage examples of "get moving".

The smokestack belched white puffs into the cloudless blue sky as if impatient to get moving.

Let's climb up there and get moving if you still want to drop in at Barducci's tonight.