"Making one's move" means taking action or making a move towards achieving a goal. If you want to use different words to express the same sentiment, there are several synonyms you can consider. For example, you can use phrases like "taking the plunge," "going for it," or "seizing the opportunity." Other phrases to consider include "making a move," "taking the first step," or "initiating action." All of these phrases carry the same meaning as "making one's move" and can be used to express an individual's desire to take action towards achieving their goals or ambitions.