As others have posted, a light tap that's sufficient to leave a small mark is good enough. A regular center punch applied with a regular whack follows, the transfer punch mark is just to have a place the center punch can locate in. Transfer punch sets are usually a bit brittle and the point if easily broken off if you hit them too hard. I regrind mine back to a point, a lathe can also be used, but I suspect they're only case hardened so the new point will be softer than the original and flatten easily.
For holes larger than the set has just turn up a bushing in a lathe. OD to fit the hole, ID to whatever transfer punch you wish. OD and ID need to be concentric for this to work well. You can also wind paper or electrical tap around a transfer punch if you don't have a lathe but it will be a little (.003) off center. You can even sometimes transfer a tapped hole with this set if you don't have transfer screws. Hope this helps someone.
To the OP- Congratulations on the recent addition.