The receiver may or may not be up to the task of providing adequate power to the speakers, but what you need depends really.
If you do NOT have impedence matching volume controls, then you will need a speaker selector box which handles speaker impedence.
That is, you basically need all your speakers to appear as 8 ohms to the receiver or you will fry the receiver. It'll just shut down.
$48 from Amazon for a Monster SS-6 which should do the trick...
http://www.amazon.com/Monster-SS-6-Speaker-Switcher-Speakers/dp/tech-data/B00004Y3UY/ref=de_a_smtd
Product website:
http://www.monstercable.com/productdisplay.asp?pin=1187
If the volume controls are already impedence matching, and you will know this mostly by asking... Then, you could connect the speakers directly to the receiver.
However, you may still want something which will clean up the wiring a bit, like this:
http://www.parts-express.com/pe/showdetl.cfm?Partnumber=300-541
It just makes the connection of the wiring a bit easier and more clean at the wall.
I would add: If you intend to own this house... Live in this house for a LONG time... Then give VERY careful consideration to all the places you truly want audio and consider that perhaps that four zones is not at all adequate for what you really want.
Conduit, pre-wiring, cable access paths, and ALL location considerations are things that very few people are capable of taking care of when there is no drywall.
I have a somewhat typical colonial home (4 bed, 2.5 bath) which I got to prewire through my builder and ended up with about 16 zones of audio prewired along with control, conduit, and video to a bunch of locations.
The one thing I can say... You REALLY don't want this in your family room.
You should consider a RF system which allows you to bury and hide the gear in the basement and control it with remotes from anywhere in the house. You won't have the heat, noise, or wires to deal with in a space of your home that you actually care about, but will have it all nicely tucked away somewhere out of site.