I was in Buenos Aires 2 weeks ago with my mom and my 81 years old grandmother. We stayed at Emilia's apartment for 9 days, and we loved it!
The apartment is next to supermarket, there's a Starbucks at the side of the building, and my grandma loved that there was a church nearby for her.
You can do pretty much a lot just walking, the place is next to many touristic places, such as the Recoleta cemetery.
Emilia and her mom were fantastic and assisted us a lot.
I would for sure recommend her apartment for anyone who wishes to spend some time in BsAs. We are even thinking in going back next year, and for sure we will stay at Emilia's place.