As long as whatever oil you use won't attack yellow metal (brass, bronze) you should be fine. ISO is a spec that many different oils can meet, I use VP tractor oil I get from Tractor Supply. Others may say you need specific blends or products, I'm not that picky....
Good luck getting it moved, if you can rent a drop deck trailer life will be much easier. Go slow and think each step through, also don't hesitate to reach out here for help. There may be someone who will drive out and assist, I've had good luck with that and learned quite a bit from the folks who volunteered to help me.
John