I keep my nails trimmed. I don't like when they get too long, because then they tap against things when you go to grab something or type on your keyboard. That's super annoying to me and I don't like when my nails get too long anyway.
I trim them up, instead of chewing or picking at them like your second link. I like for my fingers and nails to be comfortable, not chewed to bits or sensitive after the skin overlaps the ends of my nails and presses into them. So my fingernails are kept neat and tidy looking.
Also, how in the actual fuck could you have offended someone by asking about finger nails? lol
I keep my hands clean from lots of hand washing and I keep the nails trimmed. I don't really like having lots of the white part (is that the cuticle? LOL), but I also don't chew them so they look nothing like the second picture.