I know you’re asking about die holder, but i just wanted to second Lisle for taps. Lisle Tap sockets are a life saver when tapping threads that are in a pocket or recessed area. I use them extracting broken bolts in those areas as well because screw extractors fit in them also. I’ve seen some guys use 12-point sockets as tap sockets. But Lisle is worth the $. I got mine for $32 on ebay a couple years ago. Maybe i should have checked Amazon.
I have never used dies in my trade to date, so sorry I don’t know about that. Have Cut threads on the lathe.
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