Its this modem

It has 1 input and thats the wire from the modem to the pc, and it has one wire that i cant take out that goes straight to the phone line (My splitter)
My friend said i can by a router so that i can plug my modem into the router and then the router has 4 Ethernet slots so i can connect my pc and PS3 at the same time.
Trouble is how can my router connect through my modem if i dont sign in? Because when i turn on my pc if i want to connect to the internet i have to go to
Start menu > connect to > Homecall broadband > then click "dial" and it connects in like 2 seconds.
So will my Router automaticly sign in to the internet via my Modem, or will i have to sign in my pc to initiate the modem to be able to provide the router with internet access to my ps3?
THANKS PCHF, Merry Christmas
































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