The quarterstaff is a fine weapon. I believe the tables in the DMG for determining frequency of magic item distribution make simple weapons more common, which is a slight bonus (also more common in Modules - most seem to have at least 1 Dagger +1 and Quarterstaff +1).
-If you aren't dual-wielding you get Str x 1.5, which is a nice bonus.
-Gandalf's ruse - It's just a walking stick!
-It is one of the more useful out-of-combat weapons, since you can use it in many situations - holding open a door, as a life-saving device if someone is sinking, or even just jamming it in some contraption you are trying to short out (of course, other weapons can serve in that regard as well).
Technik
-If you aren't dual-wielding you get Str x 1.5, which is a nice bonus.
-Gandalf's ruse - It's just a walking stick!
-It is one of the more useful out-of-combat weapons, since you can use it in many situations - holding open a door, as a life-saving device if someone is sinking, or even just jamming it in some contraption you are trying to short out (of course, other weapons can serve in that regard as well).
Technik