I use white spirits for most cleaning jobs,but in case it might burst into flames/blow up/rot my hands off,I make sure to have my fire extinguisher/fire blanket/bucket of sand/gloves face mask ect all to hand before using it,no point in taking chances ! Cop yourself on,you,re only cleaning a lump of cast iron,not the Mona Lisa.
Paraffin used to be quite common until recent years [Esso Blue,and the other one,Pink ] but now all I can get is Kerosene. I dont see any difference,runs my heating system and my Primus stoves,along with cleaning off heavy muck,and cheaper than white spirits.
However,as others have pointed out,there is a wide range of stuff out there for cleaning,some of it very good,some of it it useless [ask me how I know ] The important thing is that when you are finished with the cleaning,dont spare the oil.
And after all that,have fun with your new machine,make sure it gets dirty,that,s what it,s all about !!