Does God know me personally? What is the biblical basis for concluding that God knows (in any sense) individual people personally (in any sense)?
God created you, so for sure he knows you! God is also watching each one of us and he loves ❤ us. And yes, there are quotations, to be sure!

Job 28:24 


  For he looks to the ends of the earth and sees everything under the heavens.


1 John 3:19-20 


  By this we shall know that we are of the truth and reassure our heart before him; for whenever our heart condemns us, God is greater than our heart, and he knows everything.


Hebrews 4:13


  And no creature is hidden from his sight, but all are naked and exposed to the eyes of him to whom we must give account.


Matthew 10:30


  But even the hairs of your head are all numbered.


There are many more, but these are what I could remember!