Answer: promenading

AnswerCrossword Clue
promenadingTake a leisurely walk, ride, or drive in public, esp. to meet or be seen by others
promenadingTake such a walk through (a place)
promenadingPROMENADE, to take a promenade
promenadingEscort (someone) about a place, esp. so as to be seen by others