When introducing yourself in Chinese, there are a few different options.

For starters, you can say "Hello, my name is [your name]"
你好，我的名字是 nǐ hǎo, wǒ de míng zì shì

Or you can use:
I am called [your name] 我叫 wǒ jiào
I am [your name here] 我是 wǒ shì
My surname is [your surname] 我姓 wǒ xìng

What is your name? 你叫什么名字 nǐ jiào shén me míng zì