Here are some options, depending on the desired meaning:
Formal:
* Telekinetically move/manipulate/control: Emphasizes the action of moving or controlling something.
* Exert telekinesis: Emphasizes the act of using the power itself.
Informal:
* Telekinese: A shorter, informal version of "telekinetically"
* Mind-move: A more casual and descriptive phrase.
* Force/Push/Pull with your mind: More descriptive and colloquial.
Ultimately, the best verb form to use depends on the context and the desired tone.