Being introduced
If someone is making the introductions, to introduce your self is considered disrespectful. So when it is your turn to be introduced, stand up, smile and look at the people also being introduced with ease. After being introduced, you can shake hands with each other and give mutual greetings, sometimes with an exchange of calling cards.
Introduce to others
In China, there are many strict conventional rules on introduction to others:
a. The junior should be introduced to the senior first;
b. The male should be introduced to the female first;
c. The inferior should be introduced to the superior first;
d. The host should be introduced to the guest first.
These ways of introduction is to show high respect to the senior, the female, the superior and the guest. However, if you are in a generally more informal occasion, the introduction to others can be less ceremonious.