If you're an independent and/or adventurous traveller (and I assume you are, if you are an Airbnb user) the Oshiage Holiday Apartment is a delight. We stayed there in February 2013 with our children, and loved the exposure to what I assume is a typical Tokyo apartment. One thing we discovered is how efficiently kitchen space, the bedroom, and bathrooms are set up -- you'll need to read the house manual to understand various appliances and procedures, but once you do, it's easy to manage.

We also liked the neighborhood, which is a warren of small streets and shops about a 15 minute walk from Tokyo Skytree. It's very quiet -- past 10 pm or so, you won't hear much noise, with the exception of a bicycle going past or the neighborhood watchman making the rounds with his clacker. Take some time to walk around and see the sights, sounds, and tastes of the neighborhood before succumbing to the shops and restaurants in the Skytree mall.