Hi.
Don't know if there's such a tool for the bass pins, but for acoustic guitars there's a combined winder/pin extractor. You might want to explore that option.
Prior using that tool I used side cutters to pry the pin up. That can score a soft bridge though, so be careful.
Also installing the new strings can be a bit challenging at first, the ends don't seat well and the pins tend to lift up. Bending the end of the string helps a mile.
Regards
Sam