What is the term for certified applicators who use RUP for producing agricultural commodities on their own or rented property?

The term for certified applicators who use restricted use pesticides (RUP) for producing agricultural commodities on their own or rented property is indeed "Private Applicators." This designation is specifically applied to those individuals who are involved in agricultural production and are applying pesticides in a manner that is restricted to their own farming activities. Private applicators are typically farmers or agricultural producers who work with pesticides that require certification due to their potential risks to human health and the environment.

In contrast, commercial applicators are those who apply pesticides as a service for hire and operate on properties that they do not own or rent. Federal and local applicators do not refer specifically to the type of agricultural production context, as these terms may involve governmental roles that oversee pesticide usage and regulation but are not aimed specifically at agricultural commodity production. Hence, the definition and context surrounding private applicators align perfectly with the scenario given in the question.