ADK, before you PM'ed me yesterday I've never heard about Luma mesh wifi system, even though generally I try to keep myself up today with this stuff. Unsurprisingly it's a bit lacking behind other mesh systems:
http://nymag.com/intelligencer/2016/12/google-wifi-eero-luma-comparison-test.html
Don't necessarily be concerned about internet speed as your provider 100mbps is likely the bottleneck here, not Luma performance.
That said I'm a nerd and I like nerdy solutions. I have Asus (wifi) router which is my old sole provider of routing and wifi and since 6 months ago it's wifi has been turned off and retired only to serve as a router/firewall.
I bought 3x Ubiquiti UAP AC-PRo wifi access points and they do a great job proving coverage in my fairly large house. They work best wired, but could also be configured with wireless uplink and it works fine.
a central controller is required (at least for initial config) it could be simple install on the windows pc or a bit more streamlined with Ubiquiti UniFi Cloud Key.