Let's say you are getting old and you have a lot of white hairs on your head because of aging.
Now, you ask your child to get rid of them for you.
Do we say "could you pick / pull my white hairs off, they make me itchy?"
pick [transitive] to pull or remove something or small pieces of something from something else, especially with your fingers
pick something + adv./prep. She picked bits of fluff from his sweater.
He picked the nuts off the top of the cake.
Names were picked at random out of a hat.
pick something to pick your nose (= put your finger inside your nose to remove dried mucus)
to pick your teeth (= use a small sharp piece of wood or plastice to remove pieces of food from your teeth)
pick something + adj. The dogs picked the bones clean (= ate all the meat from the bones).
pull [transitive] to remove something from a place by pulling
pull something If these weeds are not pulled, they will spread rapidly .
He pulled a knife and stabbed the man.
pull something + adv./prep. Pull the plug out.
to pull out a gun/knife
She pulled off her boots.
James pulled his shirt over his head, letting it fall to the floor.
They were still pulling bodies from the rubble.
She he was spotted in the water and pulled to safety.
He pulled a gun on me (= took out a gun and aimed it at me).
It seems that people say "pluck grey hairs" and I am not sure if people say "hair turns grey when aging", "white hair" may not be the word. But Asian people's hair turns white not grey when aging.
pluck [transitive] pluck something (out) to pull out hairs with your fingers or with tweezers
She plucked out a grey hair.
expertly plucked eyebrows