Hi,
By tube, go to either Sloane Square Station or South Kensington. From Sloane Square, take a 137 bus (southwards) and this will take you over Chelsea Bridge to the eastern part of Battersea around Queenstown Road.
From South Kensington, take a 49 or 345 (southwards) and this will take you over Battersea Bridge to north and central Battersea and then on to Clapham Junction.
By bus, you can take a No19 the West end (Piccadilly Circus ) which will also take you over Battersea Bridge
. (A very interesting route) Also a 237 from Victoria.
By overground train. From Waterloo to Queenstown Road (east Battersea) then Clapham Junction (south Battersea) From Victoria to Battersea Park (east Battersea) then Clapham Junction.
In general, tube/bus to north Battersea, and overground train to the south part towards Clapham Junction
Keith (Battersea resident)