The phrase "walk around" is a versatile one that can have many synonyms depending on the context. Some of the most common ones include "stroll," "amble," and "saunter." These words imply a leisurely pace and suggest a relaxed attitude. Other possible synonyms include "wander," "tour," and "explore," which suggest a more purposeful activity that involves taking in one's surroundings. "Peruse," "inspect," and "observe" can also be used as synonyms for "walk around" when the activity involves looking closely at something or examining it in detail. Ultimately, the most appropriate synonym will depend on the situation and the intended meaning of the phrase.