This isn't going to help you get the fur off, but to prevent it building up once you have the press clean, wipe it down with some sort of slippery solvent... There was mention of no aerosols, but you could use WD40 (old school), or for a more progressive fix, something like Simple Green or a Franmar degreaser will work... Just a thin coat wiped all over the press so that when the tack or fur does get on it, you can easily wipe it off.