Francesc is such a kind host. Right from the start, he helped us with commute to the apartment. He recieved us at the apartment gate and gave us an entire tour of the apartment (which was required, because you get to ask any questions you have to a local). The apartment had EVERYTHING- Fully equipped bathrooms, kitchen- with all basic cooking requirements to make a meal, 3 bedrooms for 5 people max.
Now, accessibility wise- there is fruit vendor and a huge supermarket below the building. The walk to the metro is a 3 minute walk. The bus stop is right across the building of the apartment. Since we had lots of bags, we opted for to and fro movement from the airport by a cab (around 40-45 euros).
Only point to note- if you're exploring the city center- it is a minimum 20 mins journey by metro to all places. We were easily able to explore all places though- Montjuic, Placa Catalunya, Costa Brava day trip, Montserrat, Placa Espanya, Sagrada Familia in 6 days of being in Barcelona.
So while it is away from the so called "center" it is still brilliantly located in a residential part of Barcelona perfect for families.
Big pro- the elevator! You will realise it's very hard to find elevators in Barcelona (or so I've heard)
All in all a super airbnb for your excursions.