Foreign father with broad smile had to travel around (11)
I believe the answer is:
peregrinate
'travel around' is the definition.
('peregrinate' can be a synonym of 'travel around')
'foreign father with broad smile had' is the wordplay.
'foreign father' becomes 'pere' (French for father).
'with' is a charade indicator (letters next to each other).
'broad smile' becomes 'grin' (I've seen this before).
'had' becomes 'ate' (e.g. I had an ice cream).
'pere'+'grin'+'ate'='PEREGRINATE'
'to' acts as a link.
(Other definitions for peregrinate that I've seen before include "voyage" , "Do much leisure travel" , "Wander around" .)