In regards to using his right hand, I trained to use both but the top hand is the most important as it carries your momentum and you have a better reach. At the end of the day most great saves have **** all to do with technique and it's all just reflexes and getting one part your body in between the ball and the goal.
Let me clarify that last post, as a keeper you use both hands to so you're trained to catch while diving, but as you get older more and more saves are pure reactions as the play moves much faster and the shots get harder so you instinctively dive with your bottom hand leading and and often times you will see keepers make a one handed save, with the bottom, leading hand. Although keepers are trained to dive with both hands. In regards to de Gea's save, he brings his top hand over which helps him get momentum to get himself up into the top corner, and had he not threw his right hand up as if to catch it, it would have been a goal.