Babysitting is kind of a foreign concept here in France, too. One solution for many folks has been to check expat clubs and groups. Often the teenaged sons and daughters of other Americans living in the area are anxious to pick up a bit of pocket change by babysitting.

We have a French "welcome club" here in the area, and some of the French teenagers have learned about babysitting from the foreigners in the club. Find a neighbor family who has teenaged kids and see what you can work out.