Roger is a host beyond what is to be expected from Airbnb. The stay was a pure pleasure from the beginning to the end, including breakfast every morning and nice talks. Not to mention the fact that he picked us up and drove us to the station whenever the English weather offered a little rain. The apartment is a treasure box full of great and playful art. Yet, it remains spotless and bright with two nice bedrooms and a good shower. Definitely recommendable!
The nearest train station, Surbiton, is 15 minutes from the apartment by foot. It takes in between 12 and 30 minutes to get to Waterloo st depending on the train (which leaves frequently). As far as I could tell, the cheapest thing to do is to buy a full day ticket (12£) that will bring you back and forth from Waterloo and Surbiton st while also working as an Underground pass throughout the day.