You can use both, either, and neither to talk about two things or people.[1]https://www.grammar.cl/english/both-either-neither.htm

Both
Both is used to talk about two things. You can use it with both nouns and adjectives.
Both this and that
For example:
- I like both
ice cream and pizza. - She is both
pretty and tall. - They have both
a car and a motorcycle.
Both (of) + Determiner + Plural Noun
You can also use determiners (such as possessive adjectives) with “both”.
For example:
- Both of my
sisters are older than me. - Both of the
schools have be rivals for a long time. - Both of the
kids have been friends for a long time.
Both of + Object Pronoun
You can also use object pronouns (such as us) with “both”.
For example:
- They invited both of us to the party.
Verb + Object Pronoun + Both
For example:
- I hope that the university accepts us both.
Either
The word “either” is used to talk about one of two things.
Either this and that
For example:
- You can have either a chocolate cake or ice
cream. - Either
John or Sam is going to pick us up. - You can choose either a car or a
motorcycle.
Neither
Neither is used to talk about not this thing and not the other thing. This is the negative form of “both”.
Neither this nor that
For example:
- I want neither
cake nor ice cream. - Neither
Sam nor Jake helped us. - I neither
sing nor dance.
Neither + Singular Noun
For example:
- Neither school
participated in the competition. - Neither
team had an advantage.
Neither of + Pronoun
For example:
- Neither
of us want to swim. - Neither of
them wanted to help.
Neither vs. Either
You can replace “neither” with “either” if you change the positive verb in the “neither” phrase with a negative verb.
For example:
- I have neither
friends nor family. - I don’t have either friends or family.
Example Exercises
How did you do?
If some of these questions were tricky don’t worry — this is one of the topics that confuses English learners the most.
Sometimes reading alone isn’t enough. A private one on one lesson can clear up any confusion quickly and help you use this grammar naturally and confidently.

References
