The more obscure a web page is, the more likely it is to be indexed only by the large search engines (i.e. Google). There are search queries that return 0 results on DDG, but quite a few (relatively) obscure websites on Google. This is simply because the more money a search engine operator has, the more websites it will index.
So what you want is kind of contradictory.
That is the reason why you're glad you don't have kids? Because if you did you wouldn't be able to control what information they receive?