What's the difference between a transitive and stative verb?

A transitive verb expresses some kind of action. It is any word that a primary school teacher might have taught you as a 'doing word'. examples include kick, read, run.

A stative verb expresses something unphysical; it can be an emotion you feel, a thought, or a state of being. The most comon are 'be' and 'have', but other examples are 'know', 'like' and 'feel'.