Ah yes, 2 cultures separated by a common language

After a bit of translating, white spirits will work just fine as long as it doesn't have anything else in it. Be a bit more careful about getting it on the tires, however. A small amount won't cause damage to the rubber but if you were to flood the tires with it, you could do a minor amount of damage. In particular, you might remove any UV protectorant that is on the tires.

Skip the steel wool with either solvent if you have aluminum rims. It's just not needed.

So that others won't have to do the translating, "surgical spirits" is know as denatured alcohol on this side of the pond. White spirits is the same thing as mineral spirits (and all the other names it's known by over here).