Simple Network: Beginner Question  

Hello All:

I am endeavoring to construct a simple network. I have three nodes: the router, my Windows computer, and a Linux computer. I have the router plugged into a cable modem.

All I want to do is to occasionally transfer files between the two computers and have both computers capable of accessing the Internet at the same time.

I have been endeavoring to educate myself in the basics, but they quickly become more complex than I would like. From what I have read it sounds like I could fully configure each device with a static IP address. That sounds the simplest path for this beginner.

If this is feasible would doing that have any implications or or pitfalls?

Thanks for any guidance you can kindly provide.

Went smooth as silk. Pinged the router just to make sure I was connected.

Thanks for your help