I use one of these: https://www.amazon.com/MusicNomad-GRIP-Puller-Premium-Bridge/dp/B07TNNP49T/ref=mp_s_a_1_3?adgrpid=51544854890&hvadid=274937666077&hvdev=m&hvlocphy=9005550&hvnetw=g&hvqmt=e&hvrand=4301077290182198201&hvtargid=kwd-298594116210&hydadcr=12988_9734074&keywords=acoustic+guitar+bridge+pin+puller&qid=1688479545&sr=8-3
If a bridge pin is really small or jammed in there, sometimes this doesn't do the trick, but most the time it works fine and is gentle on your bridge.