Technique for driving hinge screws to minimize misalignment
As you are a perfectionist for installing hinge screws perfectly it turns out that there is a product made just for this purpose. It is a self centering pilot drill that aims the pilot drill bit right on center in the hinge hole. 

There is a spring loaded sleeve around the drill bit that pushes back as the bit bores the hole. The tip of the sleeve centers in the counter sink of the hinge hole.

These are often sold in sets for the range of hinge screw sizes that you are likely to encounter. 



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Picture Source