I am at the moment preparing to replace my heavy duty brass door hinges on my back kitchen door. To do this properly I have to remove the door. In order that I drill the screw holes accurately and centre I have invested in a set of self centring drills, The brass screws that came with the hinges are a size 10 now looking at the chart of drill sizes for this size screw it calls for a .190" diameter drill which is around 3/16" Now I selected the centring tool with that size drill but unfortunately the spring load guide is smaller in diameter than the holes in the hinges and will therefore not work. Do they make special centring tools for this type of hinge the only other answer the way I se it is to buy bigger diameter screws but I am not sure that this is the right way to go about it.
I'm assuming you're asking about drilling holes in the jamb and the door because the new hinges have different holes. If I've misunderstood your issue, I'll edit.
Mark your holes from the hinge with a sharp pencil. Punch a divot in the middle of the circle with a nail or screw. If you look at it and it seems a little off center, do it again, but angling toward center. Keep making the divot deeper until you think it's dead center. (Nothing wrong with practicing all this on scrap. Nobody was born with these skills.)
Now drill. (3/16" sounds a little big to me, but I haven't consulted any charts, so maybe you should ignore me on this point. Steel screws will be different from brass screws and different woods are, well, different.) Keep the drill bit perpendicular (use someone to look at your angle and guide you if available). If you creep off center, angle the drill toward the center and resume.
If one of your four holes is a little wrong, screw that one last. If they're all wrong (hopefully in different directions), use them to push/pull the hinge to the right place.
If, when assembling the door, the hinges are a little off, feel free to tap them gently with a wood block (to protect the finish) and hammer to encourage them to mesh. If they're way off, loosen the screws, mesh them, and tighten the screws again.