Should we watch a movie or see a movie?

While many native speakers of American English may be unaware they are doing it, they do actually distinguish between 'watching' a movie and 'seeing' one. "Watching" a movie means you are going to do it at home or in someone else's house on TV, whereas "seeing a movie" means you're going to do it at a movie theater.

Examples:
-What movie are you going to watch?
-Oh, I don't know. Whatever's on the classic movie channel tonight.

-What movie are you going to see?
-Well, we haven't decided yet. We'll see what looks good when we get there.