Vehicle with favourite floor covering (6)
I believe the answer is:
carpet
'floor covering' is the definition.
(carpet is a kind of floor covering)
'vehicle with favourite' is the wordplay.
'vehicle' becomes 'car' (car is a kind of vehicle).
'with' says to put letters next to each other.
'favourite' becomes 'pet' ('pet' can be a synonym of 'favourite').
'car'+'pet'='CARPET'
(Other definitions for carpet that I've seen before include "Heavy fabric for floors" , "Soft floor covering, red for VIPs" , "Runner perhaps" , "Tell off" , "Floor cover" .)