I didn't follow SF's link but one of the easiest ways to clean off cosmoline is with light steam.
As mentioned before, wipe the firearm down and run a loose patch through the bore. That is a very good start.
Next, go to Canadian Tire or some other similar store and pick up a small steam generator. They are plastic and run under $30 taxes in.
Carefully, using properly fitting tools, disassemble the firearm. Again, wipe off the easy stuff.
Next, plug in the steam generator, after filling it with clean water of course. Let it heat up and start putting out enough steam.
The big stuff, like the receiver/barrel is easy and the cosmo just melts away. For small parts, use a pair of long handled needle nose pliers. Wear rubber gloves with insulating cotton gloves to protect your hands. Also, wear a full face shield if you have it or at least safety glasses. Your choice.
Do this outside if possible. If not, make sure you put something on the floor. If you have a septic tank, don't use the sink.
I talked to a young fellow that cleaned up a Mosin and an SKS in his kitchen sink. He put all of the small parts into a colander and poured boiling water over them. It worked well but left a nasty scum around the bottom of the sink. It took longer to clean up the sink than the firearms.