Kateryna was the perfect hostess! There were so many things to mention that I actually wrote to airbnb as I wanted to leave a comment before my stay was over, as I have a habit of forgetting. :)
Kateryna and her husband (thanks Serge!) met us at the airport on a Sunday(!) morning to bring us to the apartment, and even showed us a bit of the popular District 1, which was only 15 mins away on tram 43. As most major supermarkets were closed on Sundays (beware - they close early on Saturdays), they brought us to one which was open to buy some basic groceries! How kind of them.
The apartment was recently renovated so it has all the mod cons, and it is in superb condition. Don't be deceived by the photos posted up - the apartment is much bigger than it looks and the 4 of us found it extremely comfortable. Kateryna also arranged a very cheap taxi to the airport for us. Danke schön!
(P.S. Please don't wreck the rice cooker Kateryna bought for the apartment while we were there - we're going back next January!)