Airlocs are special airtight plugs, favoured by QED and fitted using a special tool, and are designed to prevent any degradation of the bare speaker cable ends over time.
But you don't have to use them: if you can solder, you can fit conventional 4mm (banana) plugs to either end of the speaker cables, or just twist bare wire ends around the binding post terminals on both amplifier and speakers.
If you want to use plugs, you'll need two for each end of each speaker cable, or 20 in total.
You'll also need a subwoofer cable, which is simply a long single interconnect cable with phono plugs on each end. Something like
this would be fine.
How much speaker cable do you need? Depends on your room layout, but with 14x14ft the longest run is likely to only be 15m or so - say from a receiver in one corner all the way round the room to the furthest rear speaker - so I reckon you could probably do all you need to do with 30-40m.
Best thing to do is pace it out around the room, at about one pace equalling one metre, then add on a little more to allow for errors and for tidying things away - say 5m or so.
If you buy cable 'off the reel' for this, then cut the longest runs first - much simpler to have to buy an extra couple of metres for the shortest run if you've miscalculated, rather than finding you don't have enough for the long runs.
Best place for the sub is neither behind the TV or behind the sofa, but rather somewhere it can 'breathe'. It can be close to a wall, but avoid placing it in a corner if you can, or the bass will become overblown and flabby.
One tip is to place the subwoofer where you'll be sitting, hook it up and then play the receiver bass test tone through it. Walk around the room until you hear the most powerful bass, and you're standing at roughly the best place to locate the subwoofer.
Hope all that helps...