Welcome Lydian!
I'm also from NYC and happily married to a Swiss (Zürcher) for 20+ years and have 2 girls 18 + 20. I did have an advantage that I spoke fluent high German (from childhood on).
If you're interested, why not sign up for the annual "Living in Zurich Course" from the Amer. Women's Club of Zurich which will start on Fri., Oct. 19 till Nov. 16 (5 consecutive Fridays in a row). If you can't attend the course, you can buy the useful guidebook. Go to
www.awczurich.org for additional infos on the course and to order the book.