If you're looking for a cosy and convenient location for a stay in London, I can definitely recommend Kate's place. The bedrooms are a good size, the sitting room is comfortable, and the shower pressure is great! We visited when the schools were off, so I can't comment on what it's like usually, but it was extremely quiet when we were there. We were out and about most of the time, so we didn't sit out in the courtyard area, but on a sunny day it would certainly be very nice to do so.
The area itself is very conveniently located; the Bethnal Green Underground station is just a few minutes walk away but the bus stop is around the corner and gets you into central London pretty much just as quickly, and the buses are also helpful if you want to head further east too. Victoria Park is only a little further, and it is a really lovely area with lots of people running, cycling, walking their dogs, and a really nice market on Sundays. It's also a handy way to get to Hackney, but there are decent pubs just around the corner, so you don't even need to go that far.
We had a great time, and would definitely stay here again if the opportunity arose; the check-in and check-out was great, very quick communication, and the place was spotlessly clean. I can wholeheartedly recommend it.