How do I safely bleach basement cabinets?
First I had heard of using bleach to restain but makes sense. Whether you use bleach or stain remover, ventilation, gloves, eye wear and a mask are important. A mask like https://www.amazon.com/3M-Bleach-Respirator-Non-Valved-Disposable/dp/B001G8WRJM should be ok or you could go with https://www.amazon.com/dp/B007JZ1NIM/ref=sspa_mw_detail_0?psc=1 and buy the appropriate cartridge.

I’d recommend trying bleach and stain remover on a small surface area first. Chlorine bleach should be ok and will remove dye color from wood, but not the wood's natural color (exactly what you want). In either case, you’ll likely still need a fair amount of sanding.

Compare the results to see how things look. Please post here too, would love to see the difference.

Regarding basement ventilation, open any windows you have in the basement or near it and run fans.