Palmolive soap is probably not so good for the wire insulation.
But it WILL leave your hands fabulously soft and smooth!!
("You're soaking in it." "Dishwashing liquid?!?" "Relax, it's Palmolive.")
Anyone else remember those ads?
But seriously, there is a risk of degrading the conductor's insulation by using anything other than approved pulling lubes.
And swabbing out the conduits will tell you if thery're going to be safe for the new conductors.
Simlpy tie (very securely!!) a rag to the end of a pulling rope and pull 'er on through. Or you can use a mouse of the correct size.