Here are some phrases for introducing yourself in English.
See also : Free-English-Study : Introducing Yourself
Click for Audio
1. I'm John.
I'm Jackie. (Use first name in informal situations)
2. I'm John Kennedy.
I'm Jackie O'Neill. (Use full name in business and formal situations)
3. (It's) nice to meet you.
(It's) nice meeting you.
(It's) good to meet you.
4. Nice to meet you too.
For Conversation practice:
Situations : Introducing Yourself
See also :
Vocabulary : Names
Textbook : New Interchange Intro, Chapter 1