We stayed in Robert's apartment for 4 nights in October. It is a large, well equipped two bedroom apartment. Each bedroom has an en suite and there is a third separate WC off the living room.
The kitchen includes all the usual amenities including a washer, dryer and dishwasher.
We found this apartment using the "Child Friendly" search tag, and I'm happy to confirm this apartment is toddler friendly! Our 2 year old son was with us and we had no issues. There is a bath as well as a shower, and no internal stairs once you're in the apartment. It is a second floor apartment so bear that in mind if you have a buggy. If it's small though you can fold it up and leave it at the bottom of the landing.
The WiFi is very fast and the smart TV in the living room has Netflix, iPlayer etc, so great access to shows and movies if you're taking it easy.
The one and only issue we had was the level of noise from outside at night. The apartment is on a busy main road and is not double glazed, so there was a bit of traffic noise. In the end it wasn't a massive issue and we slept fine, but worth bearing in mind of you're a particularly light sleeper.
Overall this is a great apartment and we would be delighted to return next time we're in London.