Formal:
* नमस्ते, मेरा नाम ... है। (Namaste, mera naam ... hai.) - This is the most polite and formal way to introduce yourself. "Namaste" is a respectful greeting, and "mera naam" means "my name".
* आपसे मिलकर खुशी हुई, मेरा नाम ... है। (Aapse milkar khushi hui, mera naam ... hai.) - This translates to "It's nice to meet you, my name is...". It's a bit more formal than the previous phrase.
Informal:
* नमस्ते, मैं ... हूँ। (Namaste, main ... hoon.) - This is a casual way to introduce yourself. "Main" means "I" and "hoon" is the present tense of "to be".
* हाय, मैं ... हूँ। (Hi, main ... hoon.) - This is the most informal way to introduce yourself. "Hi" is a common English greeting used in Hindi as well.
Remember to replace "..." with your actual name.
You can also add "आपका नाम क्या है?" (Aapka naam kya hai?) at the end, which means "What is your name?" This is a good way to start a conversation after introducing yourself.