I really enjoyed Teo's place. It is right next to La Rambla, just a few steps from the Liceu metro station and less than 10 minutes of walk from the Plaça de Catalunya, from which you can catch an airport bus every 15 minutes or so. I had pretty much everything I wanted to see and enjoy nearby.
The room itself was maybe small, but cosy, with its heating, sink and automatic lock. I had a problem with checking in since an app was required to open the front door, but a quick message to Teo solved the problem.
The internet was fine and you can also use the kitchen along with all utensils at your disposal. There's also a supermarket on the opposite side of the road, so you can cook meals.
Overall I can definitely recommend staying here, it was incredibly convenient to spend a couple of nights at this Airbnb.