The Sky wireless extender* will work as a repeater (fully wireless) or as an extender (plug it into a network socket).
Repeater will obviously result in a maximum of slightly less than half the throughput possible with a single wireless station.
Extender will (in theory) provide the full throughput but in practice won't as the wireless stations will overlap. Largely dependent on the client - it may not switch over to the extender until the signal strength from the "hub" is so low that it drops out (think phones/tablets moved from one area to another).
I have to say that 10 devices on wifi concurrently (and possibly switching from hub to extender) is going to produce bloody awful results in most homes as the ISP-supplied routers are total junk in terms of wireless capabilities.
By that I don't just mean range (ie decent front-end RF design), I also mean having the cpu available to deal with all this.
I gave up a while ago, bit the bullet & got one of these for indoors :
http://linitx.com/product/ubiquiti-unifi-uap-ac-1300mbps-80211ac-24ghz5ghz-access-point/13806and one of these for outdoors :
http://linitx.com/product/ubiquiti-unifi-uap-outdoor-24ghz-80211bgn-aphotspot/13957The handover between them is controlled by the wireless stations & not the wireless client so its seamless - you don't even notice a break on VoIP calls. Expensive - yes but not in terms of the house value & it'll stay in place when we sell.
Regarding DHCP - I generally reserve the first 16 addresses & leave the rest of the pool dynamic.
That way I can have static IP addresses on certain devices (router, NAS, various streaming TV devices etc) based on their MAC address while not having to configure gateway/DNS/etc on an individual basis. I have a server doing DHCP, not a router so I can also supply aliases for those devices - eg NAS-A, Skyjunk, etc which will be locally resolved (eg ping Skyjunk pings the router). I prefer keeping "always-on" stuff on those addresses as when something goes awry on the network then its easy to rule out what the problem isn't.
As to whether anyone else in the house could fix that if it all went wrong - yes but it'd take my wife a while to remember any TCP/IP
Best plan for free support stuff like you're doing is to make it idiot-proof & that means full DHCP from the router. Anything else & I guarantee you will regret it.
*given away free for a while, works reasonably well