My first time to try this kind of hairstyle is a correct grammar?

The grammar is technically correct, but it sounds a bit awkward. Here are some better ways to phrase it:

* "This is my first time trying this kind of hairstyle." (More natural and direct)

* "I've never tried this kind of hairstyle before." (More concise and clear)

* "I'm trying this hairstyle for the first time." (Focuses on the action)

Choose the option that best fits the context and your intended meaning.