Will this router link 3 computers in my home?

My sisters and I are intersted in purchasing a router to hook all our computers up to. We have:

Dell Inspiron Laptop

Compaq Presario Desktop

HP Pavilion Desktop

The laptop is equipped with a wireless card and broadband hook up.

The desktops have broadband hook ups as well.

I was looking at this router:

The Linksys庐 WRT54GL Wireless-G Broadband Router

Any suggestions on the correct item I need if this one is incrrect?

Will this router link 3 computers in my home?symantic

Yup - It'll do fine. It handles both -B and -G wireless so your laptop can almost certainly connect wirelessly. The router can handle up to 4 wired connections, so your desktops are OK, too, even without buying wireless cards.

On the other hand, I agree with CompDan - While Linksys makes good equipment, I prefer NetGear...

Will this router link 3 computers in my home?viruses

yes it will. the laptop will utilise the wi-fi and you ethernet cable for the desktops. it can theoretically hold 50 wifi comps and 4 cable connected comps.
First make sure the laptop has G-type wireless which it should, and this router will work just fine for what you want to do. Although in the past I have had troubles with using linksys wireless and I actually just bought a new NetGear router which hasn't had a single issue!
it shall work no problem makre sure u put a password... why so u neirborhood won't steal u connection or worst case hacking u network.
Once of the desk tops can hook directly to your cable. The other will need a wireless card if you don't have an easy way to hook up the cable.