[BigDave]

Here is what you are going to need:

1 cable internet router - linksys is a good brand

both of your computers will have to have NICs (network interface cards) in them. I dont know how old your computers are, but most newer computers come standard with them. Look at the back of your computers and see if there is a jack similar to your modem jack, only slightly larger.

2 ethernet cables that will reach from the router to where your computers will reside.

Once you get all that, it is pretty simple. 99% of the time you can plug the modem into the WAN port of the router, your two computers into two of the LAN ports on the router, reboot the two computers and away you go. In the off chance that that does not work, you need to make sure that DHCP is enabled on the router and that "assign IP address automatically is set on each of the computers network card. This will all be in the manual of the router that you purchased.