I can't speak for household cleaning, but I can in a school environment, although I will probably get shot at dawn for saying this...
Most of my cleaning staff are men. This is by pure coincidence and no long term plan of mine. School cleaning can be heavy soul destroying work on a daily basis. Many women find the hours inconvenient as they have other commitments and it's just that it tends to be men who apply for vacant positions.
Men seem to be more able and suited to tuck themselves into the heavy work. Men seem more happy working on their own initiative and don't mind how much perspiration they produce or how badly they smell at the end of a day. Men generally tend to look at their work as a career where as women tend to look at it as a bit of extra money for holidays and luxury's.
Men tend to have more understanding of how things work and how to solve problems on their own. For example, if a vacuum cleaner hose blocks, a man will pull it apart, poke things down it to release the blockage and probably clean out the filters and give the vac a service while they have got it apart. Women tend to shout for help and expect a man to come to their rescue! :
Please, please don't misunderstand me. I have no-bias in reality. Women make great cleaners as well and I agree are often better at spotting things that men can't. Men do tend to miss things. At the end of the day, I'm sure all men and women have their strengths and weaknesses and it's probably a sign of a good boss who can use his staff to benefit from the strengths.
I'm keeping well away from the subject of who moan the most as I'm sure men will loose out big time