Either, Neither, Both - Any, None, All

We use either, neither and both for two things

Either (OR) "One or the other"

• When it is followed by of, a singular verb is preferred: Has either of you seen my pants?. However in informal situations a plural verb could also be used: Have either of you seen my pants?
• When it is followed by or, the verb agrees with the noun or pronoun that comes after the or. a)Either John or Alice has my keys, b)Either John or his brothers have my keys, c) Either you or I am crazy, d) Either I or you are crazy.
• If one noun or pronoun refers to a female person and the other to a male person, it's used both a plural verb and a plural pronouns: If either John or Alice knows the answer, please ask them for help.
• A special use of either is in conjunctions, where it is perfectly acceptable to use it for three or more things or people: For your car's color, you can chose either red, black, yellow or orange.
• Negative form: You can't use either a pen or a pencil to paint
• Examples: a) You can use either a pen or a pencil to write, b) You must either pay up or leave, c) You can have either red wine or white wine.

Neither (NOR) "Neither the first one nor the second one"

• In standard English (more appropriate), neither on its own is used with a singular verb: Neither of her parents is alive. However in informal situations a plural verb is completely acceptable: Neither of her parents are alive.
• When it is followed by nor, the verb agrees with the noun or pronoun that comes after the nor. a) Neither John nor Alice has my keys, b) Neither John nor his brothers have my keys, c) Neither you nor I am crazy, d) Neither I nor you are crazy.
• If one noun or pronoun refers to a female person and the other to a male person, it's used both a plural verb and a plural pronouns: If neither John nor Alice knows the answer, please ask Peter for help.
• Neither must not be used in negative sentences.
• Examples: Neither a pen nor a pencil is suitable to paint.

Both (AND) "The first one and the second one"

• Both indicates that the action or state denoted by the verb applies individually to each of two entities. Both books weigh more than five pounds, for example, means that each book weighs more than five pounds by itself, not that the two books weighed together come to more than five pound.
• Examples: a) Both of her parents are alive, b) Both children are such dolls, c) Both you and I are students, d) Both guest have arrived, e) We are both candidates, f) The mother of both, g) In both in India and China live people.
• Negative form of both could be constructed using neither.
• Examples: Both a pen and a pencil are suitable to write.

We use any, none and all for more than two things

Any "One of them, doesn't matter which one"

• In general and preferably any takes a plural verb, however it is also acceptable to use a singular verb.
• When the pronoun any refers to a single thing, it takes a singular verb: Any member who wishes to renew their subscription should go to the office. When it is used with reference to a group of people or things, it is usual to use a plural verb: Are any of your friends coming?
• When the adjective any is applied to a singular noun referring to a male or female person, it's used a plural pronouns: Any member who wishes to renew their subscription should go to the office.
• Examples: a) I can ask to any of my friends.

None "Nobody/Not one/etc..."

• In a plural context both a singular and a plural verb can follows the sentence. However, in general, a plural verb is preferred because sounds more natural and unaffected. Furthermore, It has the advantage that avoid conflicts when the sex of the referent is unknown or unspecified: None of the students were misunderstood at the conference.
• Examples: a) None of my friends know the answer, b) None of my guests were there, c) None of our dancers are as talented as the Italians, d) None of those numbers are odd .

All "All of them/All of those/..."

• All takes always a plural verb.
• Examples: a) All of my friends know the answer, b) All the hotels were full, c) All your things are mine, d) All of these coins are mine, e) All of us enjoyed the party.