Which wifi router (BT broadband)?

Well, put it this way: at home, the wireless router lives downstairs at one end of the house and my bedroom is one-floor up at the opposite end, and in-between are two 3ft-thick brick walls.

Consequently, when in the bedroom, a laptop or phone's wi-fi icon struggled to muster one-bar from an HH2 or coventional-type router - in effect, no wi-fi in the bedroom. 

However, an HH3 delivers full beans