Has everyone gone crazy ?
I think its wonderful your nanny /nannies are ACTUALLY taking your children out on playdates / museums .. doing great activities and getting them used to travelling around London.. either via car or Public Transport.
I understand each to their own.. but really .. Would you prefer them to stick them in front of the TV / iPad at home all day ... just go to the same ol' playground e v e r y d a y .... zzzzzz
I think think those Nannies sound fantastic!
Yes have a chat about your likes / dislikes but its a real shame if you limit social activities purely because of ( small ) travel distances.
I am sure your child had a superb time too