I have used the method of drilling a hole through the center of a bolt when there are enough threads (or a smooth hole like  the head cap cover on the Savage) that allows you to center the drill....it works well.

I have never seen those drill centering fixtures that are made for the tapered holes on hinges.....that is pretty cool!

I don't use a center punch I use a tiny carbide debuting bit to make my mark then drill it all the way thru then a easyout. Sometimes it needs to be heated and I prefer PB Blaster seems be the best fluid .

I was going to point out to Justin_O_Guy2 that he was using a Ridgid cordless drill and having now problem doing it.  Then I noticed that it isn't a Ridgid. It's an AEG. What? Never heard of them. So I did what anyone would. I googled. Seems that AEG and Ridgid are both made by AEG and nearly identical.

So, Justin, get you a Ridgid!

I didn't go to a Big Box store. I went to a Fastenall store. They sell to contractors. Dude says they don't complain about the keyless chuck, and the 3/8" corded just happens to be on sale.
Fastball # 0254000
Milwaukee part# 0240-20

Everyday price $101.96
Sale price $80.99..

Eight amps , 2,800 RPM.

Sale is supposed to run through the month.

And no, I didn't get the vibration fixed.
A friend took me to run errands for both of us.

Daggum coon trap wasn't gonna be easy to haul anyway. I gotta get rid of that critter.