The phrase "follow around" typically refers to someone deliberately and persistently trailing another person. There are several synonyms that can be used interchangeably with this phrase, including "shadow," "trail," "stalk," "pursue," and "tailing." Each of these words conveys the sense of persistent and intentionally following someone. For example, a private investigator may be hired to "shadow" or "tail" a suspect in a criminal investigation. A stalker may "pursue" or "stalk" their victim for an extended period of time. Although these words have similar meanings, they may carry slightly different connotations depending on the context in which they are used.