The phrase "quicken one's step" is typically used to indicate an increase in pace while walking or running. However, there are many synonyms that can be used to convey the same meaning. Some of these synonyms include hasten, speed up, quicken, accelerate, increase one's stride, step up one's pace, and move faster. Other phrases that can be used include pick up the pace, move briskly, step lively, and move with purpose. Whatever phrase you choose to use, the main idea is to convey a sense of urgency or intensity, indicating that you are moving quickly and purposefully to reach your destination.
