I explain a few phrasal verbs using 'pick' and give a few examples.
to collect (pick up your kids from school), to lift (pick up the chair), to answer the phone (I called but he didn't pick up)
to remove (don't pick off the scab), to eliminate (pick off the enemy team, one by one)
to select (pick out a shirt to wear), to discern (pick out which item is not like the others)
to bully (he was expelled from school for bullying other students)
search through in order to find something ( he is picking through his laundry basket to find his lucky shirt)
to examine and / or sort through to select the best/ special or remove the unwanted (don't pick over your meal, eat everything on your plate)