There 'used' to be a TA centre just up from the station. Exit the Station on the Shepherds Bush Rd side Turn right walk up Hammersmith Rd and it sits at the top of one of the turnings on the left within 150 meters.
As I say I think TAVRA sold it some time ago but I might be wrong.
Also didn't paddy bomb this place in the late 70's early 80's? Seem to remember a story of a car bomb where the car holding the device was blown clear over the buildings and landed in nearby back yards.