If you have especially curly facial hair, multi-blade razors have a tendency to yank out some hairs instead of cutting them, especially in places where some hairs grow in a different direction. This in turn causes irritation, razor bumps, ingrown hairs, etc.

After using multi-blade cartridges my entire adult life, I switched to a shavette (disposable blade straight razor) a few months ago and it pretty much immediately solved all of the skin irritation issues. Plus it's massively less expensive. The downsides are it's slower and more injury-prone, admittedly.