You can just splice the fan to a cell phone charger if you want.
4 inch is probably not powerful enough to filter the air. But if you must, you put the fan at the top of the box blowing outward. You need passive intakes at the bottom of the tote, twice as large as the fan at least. Three times larger is better. The carbon will be positioned between the fan and the tote...essentially air will be pulled through the intake holes at the bottom with negative pressure, and the fan will pull the air through the carbon and out the box. It's easier to pull through a filter than push air.