Earlier quoted context omitted.
That's exactly right. Recently Foxconn in China has started to replace some of its workers with automation. Think about that: when even low paid work in China can't beat automation, you have a problem. There used to be a place for unskilled/semi-skilled labor: factory work, travel agents, insurance sales people. It's what created the middle class. And it's gone. Now you have the owners of the travel web site making a…
If unskilled labor is no longer needed for factory work it becomes available again for other low cost service work. A century ago lots of families employed a nanny, a cook, a cleaning lady and a gardener. Perhaps we will return to that time.
My guess is that the demand will switch to other services as well, like the nannies you mentioned and better education and other wealthy-person services: personal trainers, nutrition, leisure, party/wedding planners, clothing advisors, gourmet cooking. There will also be a lot of services needed for the elderly.
Of course, competition will be cut-throat, but those jobs that cannot be made more efficient or paralellized (those with a high amount of in-person involvement) will sustain the new middle class.