Lesson time.
Router, has the highest hierachy level in a connection, they normally connect to switches and/or modems and/or other routers. Needs configuration.
Switch, usually connects to computers and/or routers and/or modems and/or other switches. Advanced features need configuration. (LAN is built of switches and/or modems.)
Modem, a basically an advanced switch, has some router functions. Usually connects to computers and/or routers and/or switches and/or other modems. Advanced features need configuration. (LAN is built of switches and/or modems.)
Salesmen speak of all of these devices as routers which causes confusion. Normally for private use you should use modems, but switches can also be used. Routers need special configuration and a private internet address (or a public one that you can use).
I couldn't verify whether your device is a modem or a router, Cisco claims it's a router but it seems like a modem to me.
But anyway
here is a lot of forum discussion and faqs, check them out if you haven't.