Learn Italian: Il vento muove i rami. - The wind moves the branches.

The infinitive is muovere (to move). It follows the regular pattern for -ere verbs in the present tense, so the "it" form (for the wind) takes the standard -e ending.

If I want to say "The branch moves", do I use muove or si muove?

You would use the reflexive verb si muove (e.g., il ramo si muove). In our sentence, the wind is moving something else (the branches), so we use the standard, non-reflexive verb muove. But if the subject is just moving itself without acting on an object, Italian usually uses the reflexive muoversi.

Why do we use the article i instead of gli for rami?

The singular noun is il ramo (the branch), which is a masculine word starting with a simple consonant (the letter r). For masculine plural words starting with most normal consonants, you use the article i. You only use gli if the word starts with a vowel, z, gn, ps, or s + consonant.

Is rami related to the word rame?