Not in London but may help with the general feeling of the war.
My grandmother was the youngest of five girls but had married and moved out at the start of WWII.
They were in a northern mill town.
Evacuees arrived at the station and people went to 'pick' the ones they wanted (can you imagine that now?).
My great grandmother's next door neighbour came to see her, she'd gone to get some refugees but the problem was the boys she had room for had an older sister with them who'd been given 2 rules - you must all be together and you must go to an RC family.
So after some discussion the older sister took over my grandmother's bed but went next door to where her brothers were every day for meals, to get them to school etc etc.
My great aunt was still writing to her when they were both in their 60s.
I think education was disrupted for most people, where schools had refugees they often did half days, so the local kids had school in the morning and the refugee kids in the afternoon.
Directly after the war there was a shortage of teachers and ex-service men where recruited who may or may not have the skills to teach.
Oh and some anecdotes from some older deaf people who I've had the privilege to talk to.
One was walking home when he was grabbed and shouted at, he was unaware of the air raid siren and the fact there were bombs dropping.
Earlier he'd had call up papers and passed the medical until someone asked the Dr if he had checked his hearing.
Deaf people during air raids, as mentioned above, couldn't hear the sirens so air raid wardens often had keys to deaf people's houses and would let themselves in to wake up the occupants at night.
Other deaf people would tie a string to their bed (or occasionally a toe) and hang the rope outside for the warden to tug on.