From Putney Bridge Underground Station take the District Line (Edgware Road branch) to Notting Hill Gate and change there for the Central Line to Holland Park

www.tfl.gov.uk

You can do your own planning on the Transport for London site, which allows you to detail where you want to start and finish more detailed.

http://www.tfl.gov.uk/plan-a-journey/

I have been given a series of options, with just one underground as easiest, (if a bit to walk) get to East Putney, take District line to Earl's Court underground station and walk from there.

TFL website

Journey planner -

http://www.tfl.gov.uk/