This rental is a roomy (for London!), attractive home, perfect for a family with one or two kids. There is a terrific jetted tub in the bathroom with a good shower in it. The bathroom is very nice, with brand-new tile, etc. Barnes is a great part of London when you're traveling with kids, as there is a lot of green space, including a park right by the rental, and a another beautiful main park with swan and duck pond, and a terrific river walk. We have a friend who lives in the area who was able to show us some of the ropes for public transportation, and I know most people visiting will not have that personal resource, but transportation is very doable; there is both a bus route and train station nearby, from which you can access everyplace you need to go. I recommend getting an oyster card (public transport card) for your travels. You can buy it right at the tube station in Heathrow.
There are lots of restaurants and shops in the area, along with 3 small grocery stores within walking distance. You are also close to the Thames, and it is very scenic. I recommend going to nearby Richmond for a really great Thames walk and river cruises.
The home itself is the primary home of the host, so be prepared for closets, cupboards, and fridge to be full, though space has been made for you to store a small amount of food in the fridge, and have access to some cups, plates, cutlery, and linen. This took a bit for our family to get used to, as we are used to airbnbs being primarily rental spaces, with everything set up for the comfort of the guest. Still, it worked out for our stay, and is a very comfortable flat.
The decor is tasteful, and the beds are comfortable. However, there is noise from both Heathrow airport and a local train, so be prepared for that. The washer/dryer combo is a bit hard for we Americans to get used to, but we were eventually able to figure it out, with Laura's help. French press and kettle worked great. One note: there is no outlet in the bathroom, which we discovered is fairly typical for Europe. So you'll have to dry your hair in another room.
All in all, a great solution for our family, ad we would definitely stay there again!