Mark the Hole for the Broom Handle - Turn your broom top over to the top side and mark the hole for the broom handle in at least 1/8 inch from the outer edge and lined up with the center (wide) of the broom top. Hold your drill at an angle close to 40 degrees (or the angle you want your handle to come of of the top of the broom) and use a drill bit just a bit smaller than your broom handle dowel or skewer, to drill through the top of the broom at an angle. You can see the angle the hole comes through the broom top in the photo above. Drill the hole completely through the top of the broom.
Your broom top should be securely braced on your work desk when you drill it, not held against the drill as you see in the photo. The photo is just to show you the angle the drill comes through the broom top.