DualShock - Right now I'm comparing an Apple Airport Extreme/ARRIS SB6183 modem setup to an ARRIS SBG7580-AC all-in-one router/modem combination. They would be about the same price out the door if I purchased a refurbished Airport Extreme as opposed to brand new. I like the idea of having one device as opposed to two separate devices for the ease of technical support in case something goes wrong; for example: the modem manufacturer blaming the router manufacturer and visa versa. However, if you think the Airport Extreme/ARRIS SB6183 modem setup would offer better WiFi performance, please say so!
http://www.arris.com/surfboard/products/wi-fi-cable-modems/sbg7580-ac/
I can't really speak to wireless performance for the Arris all-in-one you suggested, as I've never used it. Though I think if you are in a single floor house as you said, most routers should be fine.
I have tested devices wirelessly connected to my AirPort Extreme from the basement of my house (a split level), 3 floors below the router's location, and I still got decent 5GHz and 2.4 GHz reception, so it should definitely be fine for your house. And by "decent", I mean that I was able to stream Xfinity TV content through their web site on 5 GHz and 2.4 GHz and it came out pretty smooth with no stuttering. I didn't actually run any speed tests though.