Arris IS Motorola now. So that should not be an issue.
Arris is the standard among cable modems at the moment. I would not purchase the device that you're looking at on Amazon, for several reason, but the most important is that it's largely obsolete, and only capable of bonding 4 channels down and 4 channels up, which means that it's only capable of achieving about 85-90 Mbps download. Even though it's theoretical maximum is 175, it can't actually achieve that in the real world.
If I were you, I'd either get a SB6143 which is 8x4 and which will support speeds as high as 150 Mbps down, or better yet, get the SB6183 which is capable of fully supporting 300Mbps is a 16x4 device.
Like Smartacus, I'm with TWC and we recently were provisioned for 300 down and 20 up, so I bought an Arris Motorola SB6183. I was originally using the Arris DG1670A provided by TWC, but I bought into the concept that I needed a separate cable modem.
Truth be told, I probably would have been just as happy using the Arris DG1670A and setting it up in Bridge mode and turning off NAT, turning off wireless and turning off firewall. But I went instead with the 6183, and am getting really great performance. If I was still leasing a modem from TWC I'd be paying about $9-10 per month so in about 14 months, I'd have spent the same amount I paid for my SB6183 from Best Buy. But conversely in 1.5 to 2 years there will probably be some newer, better cable modem coming out, which will make the SB6183 obsolete (or at least one or two generations behind the newest stuff)....so in this case, renting may actually make more sense, because TWC will just allow you to swap an older modem for a new one with no additional charges. Bottom line though is either way you're going to pay for a modem, so get one that is at least as fully capable as possible. And that is not a 4x4 modem.