The delivery of the Internet from your ISP (DSL of cable) is independent of how you distribute it around your home. The distribution is dependent on the equipment you have. Since you have a modem/router/WiFi combination now you will need to replicate that.
Ask you cable provider what specific equipment they supply with the connection. It may be as little as a modem that converts the cable signal to Ethernet. In which case you will need a router with WiFi. Today, many cable providers can supply the modem/router/WiFi combination. So just ask them.
Depending on how they charge, you may be able to get less expensive equipment on your own, but would also be on your own for set up and managing it. Management has challenges but is...