formal to stroll
formal to travel over or through (a place) on foot
Brit formerly, to walk round (e.g. a parish) to establish the boundaries
perambulation /-ʹlaysh(ə)n/ noun
perambulatory /-lət(ə)ri/ adj
[Latin perambulatus, past part. of perambulare, from per- through + ambulare to walk]