A while back there was a thread about this for Japanese characters. The forum has been cleaned up, and posts over a years old have all been deleted, so I'll try to tell you what I remember.

Chinese must be the most problematic font set to incorporate. You'd be best using a True Type font. If you want pretty-looking bitmap fonts, either limit the number of characters you will use and split them into several font sets of 256 characters each -that could be quite a task with Chinese. The other way is to just write the dialoges on spites -you'll end up a sprite for every posible dialoge.