I need some help with "us/we"

I need some help with "us/we"
 

I would like to know how and when to correctly use the words "us" and "we". A guy at work was texting me and his final text said, "nos vemos. . . ." I know that "vemos" is like "we see", but does the "nos" mean "us/eachother"? A little guidance please. I found myself in situations today where I wanted to use these words, but for the life of me I couldn't get the words out of my mouth. Thanks in advance.

¡Nos vemos! = -See 'ya! -See 'ya!

Nos miramos a los ojos = We look each other in the eye

Nos saludamos = we say hello to each other

Ya no nos hablamos porque nos peleamos= We no longer talk to each other because we fought

What aleC said: "nos vemos" is equivalent to saying "see you (later)" as a leave-taking expression. Literally it means "we (will) see one another (presumably in the future)". This is an example of a pronominal construction, where the subject and the object of the verb is the same. In this case, the pronominal construction implies reciprocity.

This may or may not be on-topic, but another construction you may see is something like "Nosotros los chilenos sabemos de vino".

I don't know if this is gramatically correct, but it is often seen/heard.