Help Setting Up 1st Network

Hey everyone,
I am trying to setup my first wireless network for my family at the house and I was wondering if there are any guides out there to help me along in the process. The parts I have is a Linksys 802.11b Wireless Router, Linksys 10/100 LAN card, and a Belkin 802.11b Wireless PC Card. I am building a new computer and I am wanting to hook that one up to the router directly by cable and hook the older(333 Celeron) upstairs to the wireless for internet and Email. I want the new computer to do everything like download things from the internet and online gaming. Should this setup work will you be able to see a noticable speed difference with two computers hooked up at the same time. Thanks for all of your help. I'm sure this is an elementary subject but I am new to the networking world! Thanks again for all of your input.

if it's <A HREF="http://www.linksys.com/Products/product.asp?grid=23&prid=173" target="_new"><font color=red>this model</font color=red></A> you're in business. Everything you want to do will work.

<i>It's always the one thing you never suspected.</i>