Et (and) connects words or phrases of equal value. 

Et…et… (both…and) can be used to express “both."

Ou (or) and soit…soit… (either…or): used to offer an alternative. 

Ni…ni…ne… (neither…nor) is used to talk about two things that are being negated. Notice that there are three parts:  ne…ni…ni (or ni…ni…ne).