I'll use whatever I can use. I have a watch pin remover and it's been handy for some but not all types and angles.
I've used paper clips, plain wire, nails that I've dulled the tip (or flatten with my sander), even a regular pin (for cork-board). Also used jewelry screwdrivers, earrings with a long pin, dental tools.
It's all about getting a solid and straight pin and pushing it straight.
If I was to recommend something, I'd say a 40-50 piece multi-head jewelry/electronics screwdriver, which has very fine and sturdy heads that are very small and multiple sizes...
Something like this:
https://www.ebay.ca/itm/Electric-Scr...cAAOSwjMtcRuip
The important heads to use for pin removals would be the torx (should go down to T3 at least and up) and the hex types (H0.9 and up).