1 - Symptom: the characters that should display fine as Chinese characters don't; they were working fine on the local compteur (presumably using as a default a Chinese character page code).
2 - Possible causes:
a - The database transfer was in fact fine, just the display process is wrong
b - The database transfer was not fine (and maybe the display process is wrong as well)
3 - You need to explore first the possible cause 2a
a - if you change the caharacter page code in you browser, is there any change in the display of THESE characters? when looking at the HTML source of the page, what is the character code used by the page?
b - using phpMyAdmin, add data to one table, using some chinese characters. can you display them correctly? if no, does changing the character page code for the "data frame" of phpmyadmin change that?
My own experience (but with russian and greek, not chinese, characters) is that cause 2a has a very high probablity....