Learn Farsi: سوییچو برمی‌دارم.

It has been shortened and attached to the noun! Since سوییچ ends in a consonant, the colloquial Tehrani object marker becomes ـو (-o). So, سوییچ را becomes سوییچو (suyicho). If the word had ended in a vowel, it would have taken رو (ro) instead.

Why use سوییچ instead of کلید for "keys"?

In Farsi, کلید is used for standard keys, like house keys or padlocks. However, for vehicles like cars or motorcycles, Iranians use the borrowed English word سوییچ (switch) to mean the ignition key or car keys.

What is the infinitive of برمی‌دارم and how is the word put together?

The infinitive is برداشتن (to pick up, to take). It is a prefixed verb made of بر plus داشتن. To form the present tense, the continuous prefix میـ is inserted exactly between the two parts: بر + می + دارم to make برمی‌دارم.

I learned that داشتن (to have) doesn't take میـ in the present tense. Why does it take it here?

That is a great memory! The standalone verb داشتن does not take میـ for the present tense (we just say دارم for "I have"). However, when داشتن is combined with a prefix to make a new verb like برداشتن, it acts like a regular verb again and requires the prefix to show continuous or habitual present actions.