A drill press would be the ideal tool, if you can borrow one from someone,
but I would imagine that a hand drill (if you mean hand powered, not
electric or cordless) would make the hole OK if somewhat slowly.
Sometimes I think hand tools give a more controlable result.
Drill a hole through a bit of ply or whatever. Put that over the door
where you want your hole (stand on it, clamp it) and drill away: You
can't slip and you're straight. Add a strip of wood and a pencil mark
or so and you've got a jig so all holes can be 3mm (?) from the edge.
Don't overheat the bit -- it's easy to do in hardwood.
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