"Get the jump on" is an idiom that means to get an advantage over someone or something by acting first or ahead of time. There are many synonyms that can be used in place of this phrase. A few examples include "get ahead of," "preempt," "outmaneuver," "outstrip," "outpace," "outrun," and "outwit." These words all convey a sense of being proactive and taking control of a situation before others have a chance to do the same. By using these synonyms, writers and speakers can add variety and nuance to their language while still conveying the same meaning as "get the jump on".