We'll be using the rules for exploring hexes found
here.
It looks like most of you have a speed of 30', or have a horse, which means it'll take between 3 and 5 hours to travel through a hex, or 1 day to fully explore and map it. You'll receive 100XP (as a group) for exploring the hex, plus XP for any hazards you find there. I'll make sure to note this XP each time you earn it, so don't worry about keeping track of it yourselves.