I have been in contact over the past week with a potential tandem partner with whom I might undertake a language exchange: One hour/week of English, one hour of Slovak. Of course his English is already at a pretty high level, but I am up to the challenge of finding him good materials and practice exercises in return for help with the basics of Slovak.
I have also posted a few flyers around my Uni, asking if anyone is interested in a weekly exchange. I wrote on the flyer that I'd also be willing to learn some Czech, as it is fairly close to Slovak and would likely benefit my understanding of Slovak despite differences between the languages.
I am also working on writing my first (VERY) small text in Slovak., which I'll post soon at lang-8.com so the native speakers can shred it.