Great news - no one 'buys' or 'gets results' based on your 'title' or your credentials. π
I generally recommend avoid mentioning 'your title' as I don't think anyone ever has gotten a client by telling people they are a "health coach" - integrative, holistic or otherwise.
That is why we teach the "POWER STATEMENT" because almost all of our clients have gotten clients by sharing their power statement. My entire six figure health coach business was based on sharing power statement.
This is because the power statement makes it about THEM rather than you.
Having said that, there certainly are times when you want to list your credentials or title - like in an email signature as you mentioned. And this is just personal preference because this will NOT attract clients, so it can be whatever YOU like. Integrative Nutrition Health Coach is fine underneath your name or any of the other options you listed.
Of course this is NOT something you would use to introduce yourself, verbally - in person nor digitally because then you would be missing a HUGE opportunity to share your Power Statement which WOULD attract clients. You would NOT want to share a title or a program name here at all. Instead be more INTERESTED
1. So if you are trying to share what you do: Power Statement
2. If you are wanting to sign with your title or degrees, or post credentials on website, email signature, etc. - your choice. All are fine. But hardly anyone knows what a health coach is or why they would want one so not helpful to share that verbally.
So you can have fun with it.
Sometimes people will ' brand themselves' a title.
I was "The Canadian Health Coach" . I was the first, so I grabbed it. LOL.
Vickie is the "Horse Lover's Health Coach"
Cookie is the "The Lymphatic Health Coach"
Elizabeth is the "Lupus Health Coach"
Lisbeth is the "Cervical Dystonia Coach"
etc. You do not need to at all and most don't. But occasionally someone's niche is nice and specific that it lends itself to a title like this.