To say "kind of like" means that you like it in a certain way, with the "kind" referring to the type of liking. As others have stated, it means that the speaker likes it but not in the full traditional understanding of liking, and it implies "less than" the usual meaning.
But don't therefore think that 'kind of like' always means this, symaa. In some contexts 'like' is not even a verb. The words 'kind of' have a similar meaning [='approximately'], but a native speaker, or experienced student, will easily recognize 'kind of like' as meaning (informally) 'similar, but not exactly the same'. Other students may find it confusing.