We spent our first month exploring Barcelona at Bego's apartment. There's plenty of space and it's in a great area. We were able to live like locals and venture out to more touristy spots when we felt like it.
As one of the other reviewes mentioned, there's not a lot of soundproofing so it can be difficult to get a good sleep some nights. Noise could be heard from one of the neighbouring apartments fairly regularly around 3 or 4am. I'm a light sleeper, but found that wearing earplugs helped.
Overall it was a great introduction to a beautiful city!