How do you all manage the hangnails that keep getting caught on your fingertips?

It's already late at night. I'm relaxing on the sofa, but the hangnail on my thumb keeps bothering me, so I keep reaching for it. Maybe it's because it's winter, but the dry air makes the skin on my fingertips feel especially hard. I'm afraid I'll bleed if I pick at it, so I hold it in. I guess this all has to do with my daily habits, right? After washing my face, I have to pay close attention to my hands when I apply cream to my face, but it's not easy. I'm curious about how you guys keep your hands smooth. Do you use a special oil, or do you gently scrub them off regularly during the shower? It seems like small differences, but these details add up to a clean impression, so I've been really interested in it lately. Clean fingertips are the key to applying hand cream. Is it just me who's so sensitive to the little things, or do you all have some secret beauty secrets? I'd love to know!