Get some baby oil. And make sure you get the baby oil without perfumes, because those stink horribly. Baby oil is just simple mineral oil, and I suppose without agressive ingredients. I also use it on my oil stones. The advantage of baby oil is, you can just ask your wife to buy a bottle in the supermarket, so it doesn't cost you anything.
This thread makes me a bit nervous about the motorcycle engine I revised years ago and put in storage after that. All the inside bits are heavilly coated in new motoroil. I really hope that is enough protection.