Can an pair stay be a springboard to finding a job in your host country?
As a rule of thumb, it is much easier to get a job in your host country when you are actually in the host country. ultimately, what you see published online only represents a fraction of the opportunities that await you if you are at any place in person, rather than virtually.
So, for examples the opportunity to have face-to-face interviews to foster real relationships from networking as well as the social aspect of finding work makes being in the country, especially a major city so much more advantageous than solely applying online.
Not going as an au pair, if this is the best available option that currently open to you, suggest to me fear rather than actually having some failure in seeing the value this.
This is probably a separate question, which needs to be addressed.
Apologies that any issues and spelling, grammar and punctuation. I’m using DragonDictate