Andrew, yes, plugging it into the laptop would work. Do you want the same iPod music and podcasts on both computers?
Do you also have certain podcasts you have to listen to? I have a lot, but only want some updated podcasts when we travel. How I did it with my small fabulous cheap Acer notebook computer is I downloaded iTunes for travel and selected the few podcasts I wanted on a trip, such as Daily Audio Bible (I am in my third year of listening to the whole Bible with them). Then on a trip with WiFi I can get those podcasts and listen to them on my Acer notebook and not miss my Scripture. I also have a small player that recharges the iPod for other things that are on that iPod when we travel such as the Covenant Radio, Heidelblog, Institute for Nouthetic Studies, Nicene Council, Office Hours, and Renewing Your Mind. But maybe you weren't asking that question.
Cute song and girl, Josh.