For:
Oval
Stockwell
Use Kennington & Vauxhall then walk or use local bus services

For
Clapham North
Clapham Common
Use National Rail from Victoria and Waterloo to Clapham Junction and walk or use local bus services
Or
Use Southern services from Victoria to Clapham High Street

For
Clapham South
Balham
Tooting Bec
Use Southern Trains to Balham and walk or use bus routes 155, 355 to Clapham South and 155, 355 and 249 to Tooting Bec

For
Tooting Broadway
Colliers Wood
South Wimbledon
Go to Wimbledon via South West Trains or District lines and use Rail replacement bus service (Wim, S Wim, CW TB) and local bus service 57, 219, 249

For
Morden

Go to Wimbledon via South West Trains or District lines and use bus service 93 or Rail replacement bus service to South Wimbledon and walk
Or Tramlink to Morden Road.

In addition for Tooting Broadway you may want to use South West Trains from Waterloo to Earsfield and use bus services 44, 77 and 270