Apparently they've been checking out a number of properties, both apartments and townhouses, in the Mayfair area.
A real estate source tells Chicago Sun-Times newspaper, "Reese was extremely concerned about security issues. She seemed to particularly like places where they could enter and exit not directly onto the street. That's not always an easy thing in Central London, especially Mayfair. But we were able to come up with a couple of places both she and Jake seemed to like."
Isn't it funny that security and privacy is her main concern and her real estate agent is the one who’s already blabbing to the press? Time for a new agent!