I just hand wash my eggs in lukewarm water with a few drops of dish soap. Gets them nice and clean, ready for the fridge!
If there is a bit of dirt or something I will lightly rub the area with my finger until itās clean.
you could take a soapy warm rag and rub off the excess dirt or whatever else is on it ,,, but unless youāre selling them thereās no need to wash them too much =)