Simply ask Siri, "What is my name?" She should display "your" contact information.
Alternatively, you can go to Settings-Mail, Contacts, Calendars and scroll down to the "My Info" section. Your information should be listed.
Anyway, you should be able to tell Siri, "from now on, call me ............"
If you don't have a contact card for yourself, create one.
You & PJR772 have just given me an idea.
I'm going to to grab my wife's phone when she falls asleep and have a little fun.