The Arris will produce WiFi speeds up to 300 Mbps. The AirPort will produce WiFi speeds up to 1300 Mbps. If connection speed capability is important to you, then the AirPort is "better" than the Arris.
If wireless range is important you, the only way that you will know whether one product is "better" than another is try them both out in your home.
Get the Arris up and running, if you have not already done so. Connect an Ethernet cable from one of the four LAN <--> ports on the Arris to the WAN "O" port on the AirPort, and set up the AirPort with a wireless network name and password of your choice.
Connect your computer to the WiFi signal from the Arris and test out the connection. If you have a laptop, move it to the furthest point away from the Arris that you plan to use and check the connection that way.
Then, connect your computer to the WiFi signal from the AirPort and test out the connection. If you have a laptop, move it to the furthest point away from the AirPort that you plan to use and check the connection that way.
Decide on which device you want to use, then turn off the WiFi service on the other product, since you probably don't need two wireless networks......unless.....you want to designate one of them for guests or the kids.