Either is fine, the best way is the way that works best for you. If you teach yourself to grind edge down then it works for you. Most have issues because it is hard to see the angle of your grind, for me it is anyway, I grind edge up. I have seen knife makers that grind one side edge down and the other side edge up. They do this so the blade stays in their strong hand.
You state that the edge is wanting to grab when you take the blade into the grinder, make sure you have adequate tension on your belt. Also if your using a tool rest to rest the blade on while grinding make yourself a jig that will fit on your tool rest to keep the balde from getting sucked down between the tool rest and belt.