if i'm not wrong, windows xp and up contains chinese fonts and input methods.
go to control panel, click regional and language options. then under the languages tab, click details.
then click add language and pick either traditional chinese or simplified, depending on what you want. after you do that you'll see a small EN on your start bar next to the status applications. click on that and select chinese (PRC) depending on what you picked then type using hanyu pinyin.
note that chinese (singapore) doesnt have an input method so pick chinese (PRC).
Try locate and download Bitstream Cyberbit font from Internet. It is a complete set of traditional and simplified Chinese fonts, Japanese, Korean and characters of other language in the world. A complete set of the characters of various languages in the world.
Additionally, if you may check if your computer has already loaded fonts with word "Unicode" like "Arial MS Unicode" or "Lucinda Sans Unicode", as there are fonts should have Chinese charactes in the font character library.