Holes for HD Screw Anchors
You're free to use any method you desire to make holes in brick. Most construction folk will use a standard 2-cutter masonry bit. If they need to make a really big hole and don't care quite how precise it is, they'll use a jack hammer.
There are diamond tipped hole saws available for coring into masonry, but they're rather expensive and I'm not sure you'd find one at only 5/8&quot; diameter.