I would say "Hi, how are you?" then, introduce myself. "My name is (my name)" I agree with Olga as well, most people would say "Hello, I'm (name), how are you?"

"Hello, how are you?" I would say my own name first and wait for them to say their name. If they don't, I would then ask them what their name is (but most people take "Hello I'm (insert name), how are you?" as a queue to say "Hello I'm (insert name) I'm good/fine thank you, how about you?)