Sympathetic primary school within commuting distance of Canary Wharf

[MadAboutMint]

We are moving to London in the summer with DS (6), DD1 (4) and DD2 (1).
DD1 is bright and will most likely do well in any school but DS has problems with fine motor skills (not formally diagnosed because he is so borderline) and is a sensitive gentle caring boy. Are there schools that are particularly sympathetic and nurturing to sensitive children that are otherwise bright enough to cope? A large competitive school would not work for him.
I have looked at the schools in Blackheath, Greenwich but can't get a feel for them from a distance (we are relocating from abroad).
Anything within a 45 -60 min commute door to door to Canary Wharf we can consider. Thanks.