each one 和everyone

each one 强调个体
everyone强调全体
Each one of us has a cup。
Everyone of us has a cup。
你体会一下试试

前者可以加of
后者不可以

each one-每一个人，突出“每一个”
everyone-每个人，突出“所有每一个”

简而言之：eachone 指的是两者或两者以上中的每一个，主要强调是在整体中然后才是每一个，有名词 形容词两种词性
they each want to do sth different. each of them wants do sth different.
everyone指每个人
everyone of them wants to do sth different.