Before naming your mutt with the said name you must check whether "han" has got a copyright on this particular name. Otherwise its an excellent name.
BTW I'm going to rename my new mutt with the same name. And since I don't live in China, I guess I won't have a problem with copyright infringement since copyright laws of China will apply only within the geographical boundary of China.
No dog is the "size of a teacup" Chinese Cresteds vary in size.. from 8-18 pds.. around 12pds is average. Chihuahuas are small 6pds or less.. they are the smallest.. and are certainly bigger than a teacup.