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A bit out of date, but this interactive map of step free London is very good
All the London railway stations :
Berrylands is on the South Western rail network, and is not an accessible public transport station due to stairs between street level and platforms for wheelchair accessibility. See pictures and further accessible transport detail from links below.
Underground lines : National Rail South West
AccessAble Access Guide :
Accessibility friendly : No.
General description : Berrylands has no level access. Access from the road to both platforms is via two flights of stairs. Wheelchairs users are advised to use Wimbledon or Surbiton stations. See wiki
More comment : National Rail Map & Guide