Anybody Got an Apartment for Two Good Folks?

"Well we have been here a week and having a blast. We are currently staying in San Telmo and looking for a “permanent” apartment until June 13. We have narrowed down the neighborhoods we are looking at to Palermo, Barrio Norte, Retiro, or possibly Belgrano and Recoleta. We looked at one in Palermo Alto and like the neighborhood but it was a bit pricey. We want to stay within a $700-850 price range for a one bedroom.  Any suggestions?"

Any good ideas?  These are mature travellers who need a base of operations in order to explore our fair burg.

After so many years here, I´m not familiar with what tourist rentals are going for.  If you are... leave a comment!