If you're not sure how to use Either and Neither, don't worry too much - many native English speakers are frustrated by the same problem.
On this page, you can read about how to use them in negative sentences, together with or or nor, and alone.
How to use "either"?
1. Used before the first of two (or occasionally more) alternatives that are being specified (the other being introduced by “or”). conjunction
- Either I'll accompany you to your room, or I'll wait here.
2 Used to indicate a similarity or link with a statement just made. conjunction
- You don't like him, do you? I don't either.
3. One or the other of two people or things. article
- There were no "children" of either marriage.
How to use "neither "?
1. Used before the first of two (or occasionally more) alternatives that are being specified (the others being introduced by “nor”) to indicate that they are each untrue or each do not happen. adverb
- Unlike her friends, she is neither a snob nor a gossip.
2. Used to introduce a further negative statement. adverb
- He didn't remember, and neither did I.
3. Not the one nor the other; not either. article
- Neither side of the brain is dominant over the other.
4. Not the one nor the other of two people or things. pronoun
- Neither of us believes it.
See: The Difference Between Woman-Man, Wife-Husband, Gentleman-Lady