score:3
I use Travelline. There are versions for different areas the South East one is here I find it usually outperforms any of the others
This asks for start and end locations and then finds routes via walking, bus, train etc.
Travelline does have mobile apps as well.
It does also show cycling but not through bike share etc.
Tfl also has a transport planner but just for London but does include its bike share scheme.