They have nothing to do, I would say. "Lots of" and "A lot of" have to do with large amounts, plenty of something (e.g. There are lots of/ a lot of places to visit).
"A bit of" is used to talk about short quantities (e.g. A leg of frog, a bit of evil dust and a bit of snake blood", cried the witch with a sheer-lunacy expression on her face, at the same time she was reading the recipe and preparing the poisonous potion).
Student or Learner