Networking 3 Computers

I want to network 3 computers so they all share the internet and network, I am with telstra bigpond and have a thomson TG782T modem/router. They currently all have internet working but i play world of warcraft on one of the computers and it has a crazy amount of latency/ms (2k+).
Also the network name on the main computer is "network 5" and the network on the gaming computer "network 3". How can I change it to network 5, I know this will fix it because they were briefly the same network name and my latency/ms was around 250.

all computers have windows 7 ultimate aswell

Networked via Homegroup?

yes the main one and the gaming one are in a homegroup the third computer isn't, but at the moment when i'm (gaming computer) on the internet/games it slows the other two computers internet down quite drastically. again it's fixed when i'm on the same network.

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