Jackie, Hi. Good to meet you.
You actually ask only about introductions. Anyway we offer other stuff.
The link given is for job interviews. Is this for a job?
I think introductions change with the purpose.
The formatting on that page is strange & a little confusing.
The page does have many good suggestions, however.
It says things like maintain eye contact. This seems a culturally thing. Depends where you are.
This is an interview in English?
Actually, I hate "nice". It does not mean much. Some say "Pleased to meet you".
If you think you need a solid introduction, maybe the piece after ..to meet you, I'm ..." is more important.
I'm <name> ... <from school, background?> & I am so glad to have an interview.
I have no such in-depth knowledge, but I have noticed some things.
When interviewERS talk a lot, they seem happy. If you prepare & ask good questions, they talk & usually feel happy about talking with you.
If the interviewer is a professional, he/she will see all you do & know what you are doing.
Be yourself. If this is (job?) for you & you are enthusiastic for it (the job?), you are likely a good choice for the interviewer.
If you have not done many interviews: Some interviewers will test you. If something seems to go wrong, it may be just to see how you react. React well. Cope well. A good interviewer will notice.
Life is what happens while we plan other things. Working & living is about coping well. Plan well, but also cope well with how things actually go.
I wish you all success.