We generally park a bit further out and walk. Reason being that further away the parking restrictions end at 5 pm so if you time your arrival for after that it is free of charge. I see that @BrightonCottager has kindly supplied a link to parking map which should show the zone somewhere around...
Bearing in mind Fulham also at home (and Brentford) i would imagine the District line and that area of London as a whole will be busy!
As an aside it is my birthday today so would dearly love the Albion to give me the present i most desire and beat them tonight especially as i am making the...