If you were a cat (maybe you are, but just for today we'll pretend you are a human pretending to be a cat, ok?), this is how we would formally meet...you would walk up to me and I would look down at you (from Mom's lap) and I would say "Hi stranger...who are you?"
You would then jump up on the chair beside Mom and would say:
"Hi! I'm So-and-so* (*put your name here)."
I would then give you a good sniffing and say:
'Hi So-and-so, I'm Lautrec - Nice to meet you!"