Yes having drilling gun at home with different beads is quite helpful. You can do so much yourself. We have one from Black and Decker. Very satisfied. In India the regular way is to call a carpenter or electrician if you want to get any of these things done. Because labor is very cheap. But now they are either not available or they do poor job so better do it yourself. And after home depos coming in here, its so much fun to set things yourself.
@David Sounds like a spade bit, but finer so it does not cut so deep.
It had a small drill bit centered inside a hollow cylinder with 4 teeth around the circumference, so like a hole saw it cut out a circle in the copper. Depth was only enough to remove the copper plane and leave an isolated copper island with a hole in the middle for component leads. Worked great in a Dremel.
Tried to find a link, no luck. Used them 25 years ago so maybe they are not made anymore. I think they were called 'drill mills', a google search turns up a lot of drill mills but nothing like this particular bit.
That's almost half an inch, so not as difficult as finer work.
I'd still go with the centre punch and small drill to start - even go thru 3 drills.
One trick that might work here is to use a piece of veroboard (stripboard, perfboard) as a guide. Use a first drill that's the same size as the stripboard holes - 1 mm or so. You can then just manually mark the first hole in the right place, drill a small hole and then use a fairly thick piece of wire - or another drill - to get the stripboard aligned with the first hole. Then use the stripboard - which you will have pre-marked with a felt tip pen - to drill small holes precisely spaced. For your matrix you will have to move the stripboard a few times, but locate it in the previously drilled holes and you should be right. You'll now have a bunch of 1mm holes instead of your centre punch marks. Use a slightly bigger drill - 1/8 inch maximum - to enlarge the holes before finally drilling them to 9/16.
This technique works really well for LEDs mounted on stripboard - obviously if you use the stripboard for your hole spacing it will be exactly the same as the LED spacing....
@TonyTib.... <Sigh> ... so many tools....so little money....
All of these are very tasty. I think my next purchase is going to be one of the oscillating multi-tools. The first one offered in Australia was called the Renovator and that's what people tend to call them. My workmate has one and says they are not as versatile as they are made out to be (on the TV sales channel :-), but he does like it and use it quite a bit.