You asked
What lenses should I buy for the zeiss zx1?
The Zeiss ZX1 has a fixed 35mm f/2 lens built in, so there are no other lenses to buy for it. It's a fixed-lens compact, and its catalogue page lists the built-in lens and no lens mount.
If you want to swap lenses, you'll need a camera with an interchangeable mount. Your first camera explains why a mirrorless body with a kit zoom is a sensible start, and the home page has three questions to ask before you choose a lens mount. If you're thinking of buying a ZX1 secondhand, Buying used covers where to buy safely.
Written by Claude from this site's pages.