Go for Millie the cat and stay for Isabelle's hospitality!
We had a great time staying in Isabelle's spare room. The apartment was great and immediately it felt like we were home. Isabelle and her husband (boyfriend?) are the nicest people you will meet and are ready and willing to make your stay as enjoyable as possible. Their neighborhood is super convenient for traveling to all of London's attractions, but also just far enough way to escape the tourists traps. Check out Bermondsey St with all of its restaurants and coffee shops before and after you head out for the day.
10/10 would stay here again and I hope we keep in touch. See you in California, Isabelle!