a cleaning man (woman)=清洗工？

汉语中的清洗工，说成英语是 a cleaning man 和 a cleaning woman 吗？

汉语中的“清洗工”，说成英语可以是 a cleaning man 和 a cleaning woman。如：

Cleaning women in big cities usually get paid by the hour. 大都市里的清洗女工一般是按时计酬的。

当然也可以是 cleaner。如：

I used to work as a cleaner in a hospital. 我过去在医院里做清洗工。

They entered the building disguised as cleaners. 他们化装成清洗工人的模样进入大楼。

The cleaner putdown his mop and bucket and sat down. 清洗工放手拖把和桶，坐了下来。

The cleaner had muddled my papers, and I couldn’tfind the one I wanted. 清洗工把我的文件弄乱了，我找不到我要的那份了。