Formal:
* Bonjour, je m'appelle Sydney. (This is the most common and polite way to introduce yourself.)
Informal:
* Salut, je m'appelle Sydney. (This is more casual and can be used with friends or people you know well.)
* Coucou, je m'appelle Sydney. (This is very informal and playful, often used with close friends.)
You could also say:
* Bonjour, Sydney est mon nom. (This is a more literal translation of "Hello, Sydney is my name.")
Remember that the best way to say it depends on the context and your relationship with the person you are talking to.