( I will use female pronouns this time to make things easier)
Once you have made the decision to have your child tutored, the next step is to tell your child. Start out by reminding her of her strengths - even those that aren't academic. Being artistic or musical, theatrical, physically adept at a sport or gymnastics, good at spatial perception (building things) - all these strengths are equally important. Then tell her that since she is having a bit of trouble in ____ (reading, math, writing) you want her to work with her own, personal coach. Make an analogy to something she can relate to - her coach in gymnastics, for example, helps her with the things she is already good at doing, as well as helping her get stronger in other areas. You can also point out that the best athletes in the world have coaches. Examples include football players and Olympic champions. I think the word "coach' sounds less intimidating. The word tutoring is bound to slip out eventually so it's fine to use the word "tutor" as a synonym for "coach." It's also a really good idea to be present at her first tutoring session so she feels assured because you are there. And you can also listen in from the other room, perhaps, and get a feel for how the tutor is relating to your child. Also, have reasonable expectations. Improvements can be visible sometimes very quickly, but it's usually a progression that is most apparent over a few months.
I have over 20 years classroom teaching experience and for the last 8 years have tutored students in grades K-5th one-on-one. Please click "Meet the Tutor" to learn more.