I've gotten an oil press recently and am loving it so far. I mostly just press oils out of sunflower seeds. The type of seeds I use seems to result in very different oils though, the most recent seeds are releasing a very cloudy oil. It tastes real good though.
Let the oil settle then draw off the top. Or ask Hannah: [video=youtube;MHtBioxp2Os]https://www.youtube.com/watch?v=MHtBioxp2Os[/video] Though I think you could also just rig up a coffee filter for the press. Just don't set the place on fire! Maybe some sort of fine metallic screen?...