Hi,
I've done this with success using windows machines but also using a mixed setup of a Powermac G3, Dell Laptop, and P4 PC with a Linksys Wireless Router and Cable Modem.
If you haven't already purchased the router, I suggest you NOT purchase any Microsoft Router. Microsoft routers require you to install a proprietary network application that manages your network from a Windows PC only. Most other routers including those made by DLink and Linksys can be managed from any machine with a Web browser.
There isn't anything special you'll have to do with your Mac to connect it to the network , unless you are not running OS 10.2 or higher. Mac OS 9.1 to 9.22 can only be connected to PC networks with the addition of some software. If you are running Mac OS Panther, it's easy to do and I would highly advise you to upgrade your Mac to Panther before adding it to your home network.
Plug in the power cable to your router and cable modem and connect all of the ethernet cables to the network ports (probably four) on back of the router and the other ends to your machines. Connect an ethernet cable to the "WAN" port on back of the router and connect the other end of the ethernet cable to the Cable Modem's ethernet port. Power up everything. Depending on whether your Internet service provider assigns you a static address or uses DHCP, you'll set that up in the router settings. Read the directions when setting up the router and it will tell you how to do this. If your ISP has given you static IP address information you must enter it into the settings using your router manufacturer directions. Look for DHCP settings and follow the directions to insure that is set up properly.
In all of your computer's network settings, make sure that you set TCP/IP to DHCP for network addressing and your router will assign addresses to all of your machines automatically. Once this is accomplished, you'll be able to share files, printers, and Internet access with ease.