Hi Badwolf.
I'm a beginner and self lerner too. I recently got into Vladimir Vysosky's music and after learning what the song is about in English I try and sing along in Russian while following the Russian words at the same time. It seems to help. Aside from likeing Vysosky I find his diction is pretty clear so easy to follow. So I guess the best thing to do is just keep looking for songs you like with clear diction.
I've been told listening to Russian films is helpful too, but I have trouble finding them myself.
Good luck.