I have a lot of music.
I have lots of music.
Both of these mean the same.
I have a lot of work to do.
I have lots of work to do.
None of these have anything to do with counting.
I have a little of my hair left (on my head).
But 'little of' is awkward; we would say
I have little hair left.
I have a little bit of hair left.
Would you like a little piece of chocolate?
Little=small or less.
I have less hair now.
Would you like a small piece of chocolate?