Move is a verb but movement is a noun.

I'll answer this referring to your question in general. There are a few definitions. A move can be used in a colloquial term such as a choice someone is going to make. This is how it's used in chess. You're not actually moving, you're making the piece move, which is a choice you're making. In the physical sense you can't really use move in the sense of a noun very well. A movement can be a type of body movement such as a hand movement, or it could be someone's routine going from one place to another. Monitoring someone's movements could be observing their physical behavior or routine. Hope that helps.