Good Morning John,
Well, given your background and the pangram of abbreviations usually suffixed to your name, I don't think it should pose too much of a challenge to you to setup.
Conceptually we're looking at this (although I get the impression you already have that in mind)....
The "problem" is that we want to avoid double-NAT because that will cause you no-end of problems if you are a user of VoIP, Skype, Facetime or any such technology.
This means we need to rule out anything that is sold as a "cable router". You need a box that supports "bridge mode" operation in order to allow wireless clients to obtain their IP addresses from an upstream DHCP server (in your case the BT HomeHub).
My initial thinking would be something like
one of these Netgear boxes, but I haven't used those ones myself so I'll need to take a quick look at their datasheets and let you know .....
Edit to add:
The Netgear WN604 seems to be a likely candidate given the description in the introduction section of their manual :
The access point acts as a bridge between the wired LAN and wireless clients. Connecting multiple access points through a wired Ethernet backbone can extend the wireless network coverage. As a mobile computing device moves out of the range of one access point, it moves into the range of another. As a result, wireless clients can freely roam from one access point to another and still maintain seamless connection to the network
Only £27 on Amazon...plus Amazon have a nice no-fuss returns policy....and they are currently running a special "Extended Christmas Returns Policy" (
) .... so you've got even longer to play with it than the generous time they would usually allow !
Edit again:
PPRuNe seems to break amazon links, this was the returns information address....
Code:
http://www.amazon.co.uk/gp/help/customer/display.html?nodeId=1161016
and this is the product page
Code:
http://www.amazon.co.uk/Netgear-WN604-100UKS-Wireless-Access-Point/dp/B003T0A03A