Someone is selling two A1084's on Craigslist but if these are on their last legs, I will certainly NOT buy.
We've already mentioned above that these models do NOT have a setting to "extend a wireless network", so they will NOT do what you want. You need to erase your thoughts about the A1084 or A1088 version of the Express if you want to "extend". It cannot do it.
One more question: Airport Extremes are also available second-hand. If I buy ONE of these, will that do the trick?
You would need two AirPort Extremes to do what you want. The flat, square version......NOT the round or dome version.
The least expensive way to do what you want is locate two AirPort Express Model A1264 devices. I'm not really recommending that you do this, since the AirPorts will be at least 3 year old and probably closer to 6.
Your best bet would be to use two A1392 versions of the AirPort Express. That way, you know the product is not more than a few years old.
Apple sells refurbished AirPort Express A1392s on their online store for $65 each, with NEW warranty. New, the products cost $100 each, so you save $70 buying two. More info here, if you are interested:
http://store.apple.com/us/browse/home/specialdeals/mac/mac_accessories