We stayed in Emily's flat for an entire summer and were glad to call it home! Battersea is a wonderful location if you are visiting London with young children as it still has a neighborhood feel to it and allows you to escape from the over-stimulation. Emily's flat is easy walking distance to Battersea Park (if you're there with kids, hit up Go Ape! ropes course for some active fun) as well as being directly across the street from a lovely park and playscape. My daughter also enjoyed riding her scooter around the courtyard garden at the flat when she just needed to burn off a little steam and the neighbors couldn't be more lovely!
Several high quality markets and a Saturday farmers market are an easy walk from Emily's flat, the local around the corner is lovely and extremely family friendly, and you are well connected to the city via Clapham Junction Station or the beloved Battersea bus. Gordon Ramsey's London House is right around the corner and it became our go-to (they have an awesome children's special) and we loved being right beside the Royal Academy of Dance where my daughter took classes for the summer (parent tip: fantastic summer camp lineup for little dancers! Helen at the front desk is a gem.)
The flat itself is comfortable and personable. Emily and her turnkey assistant promptly addressed any questions or needs we had while in residence. The layout is ideal for family travel and the rooms are generously sized.
The building is relatively quiet, although there are a few other places in the complex that list to those on holiday as well and there were several weekends where there were rowdier guests staying in those units and they were quite disruptive in the middle of the night especially given that the flat is by the stairwell (which is completely outside of Emily's control, but worth knowing if you are traveling with kids or a very light sleeper and visit during high season). That's not to say the building is normally noisy at night. Quite the opposite; it's usually so quiet that there was a sweet little fox we would see outside the kitchen windows peacefully enjoying herself most nights.
Also of note- we were there during a highly unusual, record-setting heat wave and it can get hot in the flat at night (and this is coming from a Texan) since it would be inadvisable to leave the windows open at night on the ground floor; I would highly suggest purchasing an oscillating fan for each bedroom if you are there for several weeks during the peak heat. The flat has lots of window, and during the daytime when you are "home" the space has lovely airflow with them open!
As an AirBnB host myself, I would definitely recommend Emily's peaceful flat to other families on extended holiday in London.