My Chinese collegues are happy with those. But there exists a free font from Google ( Google Noto Fonts ) and from Adobe (same font but different name). High quality Chinese font sets are expensive and not easy to find.

If your font does not support the Chinese character set completly, you will see it. I do copy paste from Word to InDesign and even back with my Chinese text and that works fine. So when giving Chinese typesetting advice to strangers on the Internet, whose computing environment I know nothing about, I always suggest placing Word/RTF files. On the other hand, if you place a Word file, then the default Word-file import settings in InDesign should automatically apply the font used by the Chinese writer or translator. That often works fine, but it doesn't always work fine for everyone on every platform in every case. It's best to use fonts intended for your readership, made by type designers who know what they are doing. This is because it's far too easy to accidentally use a Japanese glyph form, if you don't know what you are doing, and it is absurdly easy to alienate your Chinese readership by doing so. There are some Japanese fonts that have more-or-less complete Unihan glyph complements, but I never suggest to anyone that they use Japanese fonts for Chinese typesetting. Japanese fonts tend to have a few Chinese characters in, but they are by far not as complete as needed for typesetting Chinese. (This may be because the language industry attracts such people.

100% of the ethnic-Chinese Singaporeans I've worked with were completely fluent in more than one Chinese language, and were completely competent in both Simplified and Traditional scripts. Or, so I'm told Singapore is not usually one of my target locales. Officially, Singapore (where Chinese is a state language) uses Simplified characters, and that's what is taught in schools. They differ from my amateurish point of view from the complexity of the signs. Taiwan, Hong Kong, Singapure and some more use Traditional Chinese. Simplified Chinese is used in Peoples Republic.

Indesign chinese font styles