Pumping while traveling

So I'm going from new York all the way to Florida, which everyone knows is about a whole 24 hour drive (not including stops, yeek!) I was wondering how I would go about pumping while on this extremely long car ride. I have a car adapter, so I'm good on that. But I'm curious how I would clean the parts. Thinking about ordering the pump wipes, but what about the bottles? Do I wash them in a public bathroom when making stops? & where would I store all of this? Is it bad to just store all my parts into a plastic bag? Any advice would be great!