Setup network in large house using Time Capsule, Airports (2 Express, 1 Extreme) and powerline adapters
We have a large brick home with no ethernet network. I've had some limited success creating a large wireless network using multiple WAPs and Powerline adapters, but Double NAT (and other) problems keep cropping up. So I started over with new Uverse internet service hooked up to the Time Capsule, which then has a LAN to a Powerline adapter. But the Airport Utility is having each WAP "Create a new wireless network" with the same name and password as the TC. So I'm wondering what the best setup is here. I'm happy to scrap the power lines if necessary. I'm even happy to see how much it'd cost to get an ethernet network installed. But if it's possible to have stream-worthy internet up and running with the equipment we have, then I'm all ears.
Here's what we've got:
* AT&T Uverse gateway with the wifi turned off
* Comcast cable internet with modem (not hooked up, but service still active until I hammer out the AT&T. If Comcast is superior, please let me know and I'll cancel AT&T)
* Brand new 2TB Time Capsule
* 2 approx. 1 year old A1329 Airport Expresses
* 1 A1301 AirPort Extreme
* 1 1st Gen Time Capsule ((should eventually be connected to the network but need not be providing WiFi).
* 4 new Netgear 1200 Powerline adapters (yes, I'm aware they don't really go up to 1200 in practice)
So, how do I arrange this to avoid double NAT (or other problems) and maximize speed?
TIA!
MacBook Pro with Retina display, OS X Yosemite (10.10.3)