What you need is a router.
So here's some basics.
1) A "splitter" won't do anything for you. There's no way to "split" an ethernet cable.
2) A switch could possibly work for you, but probably not. To use a switch, each device you plug in would need a separate IP address from your ISP, but most only allow you to have one.
3) Therefore, you need a router. A router is a box that has one port called "WAN" or "Internet." This port plugs into the single port on your modem (not "set top box" - an STB is a cable box). The router then has several additional LAN ports, which can be used to attach anything you want. The function of the router is to create a single "internal" network and use its electronics and routing to allow them all to communicate through a single "external" network connection.
Routers are thankfully pretty cheap and sold everywhere.
(Note: You mention the "set top box" is a Cisco, and I've never seen a Cisco modem, so I'm still not 100% sure what your equipment is. Could you find a model number of this Cisco box and tell us what it is?)