The first thing I would check for is a Quality of Service (QoS) feature on your router. You can give your gaming computer's IP higher priority than the others with QoS. Its a good idea to use a static IP or a DHCP reservation for QoS IP's. If QoS isnt present, you should be able to drop down the wireless radio speeds in the driver settings on the second machine
(example). However, if your net connection isnt that fast enough even the 1mbit setting might be enough to choke the connection.
If possible you should get the gaming compy wired to the router so it doesnt have to share wireless. With wireless, each device has to wait until theres no other device transmitting in the channel before sending its own data, so the more devices = more shared lag.