Having it appropriately greased for storage is very important but greasing to use it is going to help decrease the muscle power needed every time we raise and lower the press too so I'm looking for something to use all around. Work smart, not hard!

Lard sounds like a good solution. I know "they" say mineral oil is food safe, but they say the same about the other wacky petrochemical products too. We're more cautious than that.