The Unicode code blocks that the others answers gave certainly cover most of the Chinese Unicode characters, but check out some of these other code blocks, too.
CJK_UNIFIED_IDEOGRAPHS
CJK_UNIFIED_IDEOGRAPHS_EXTENSION_A
CJK_UNIFIED_IDEOGRAPHS_EXTENSION_B
CJK_UNIFIED_IDEOGRAPHS_EXTENSION_C
CJK_UNIFIED_IDEOGRAPHS_EXTENSION_D
CJK_UNIFIED_IDEOGRAPHS_EXTENSION_E
CJK_COMPATIBILITY
CJK_COMPATIBILITY_FORMS
CJK_COMPATIBILITY_IDEOGRAPHS
CJK_COMPATIBILITY_IDEOGRAPHS_SUPPLEMENT
CJK_RADICALS_SUPPLEMENT
CJK_STROKES
CJK_SYMBOLS_AND_PUNCTUATION
ENCLOSED_CJK_LETTERS_AND_MONTHS
ENCLOSED_IDEOGRAPHIC_SUPPLEMENT
KANGXI_RADICALS
IDEOGRAPHIC_DESCRIPTION_CHARACTERS
See my fuller discussion here. And this site is convenient for browsing Unicode.