We import shared styles for typography, color, and some layout basics, but each component gets its own CSS file.
Used to be a hardcore Sass lover, and CSS modules took a small amount of getting used to, but worth it in the long run.
The only part I dislike about CSS Modules is having to use camelCased class names, or string references (styles['class-name']), which always feel awkward. I prefer kebab-case for CSS because it's a lot more flexible (more word separators: "-", "--", "_", "__", etc.), but I'm sure I'll adapt.
I try to simplify as much as possible to a single word and repeat them a lot since there’s no collision, so you can usually expect a .container, .items, .item in most components, all top level but SASS helping with other annoyances like pseudo selectors, parents and nesting where it makes sense.