Determiners and pronouns - both / either / neither

Question 1

• Compare either and neither
• both/either/neither + noun
  → both: plural
  → either/neither: singular

Answer 1

…‘Would you like tea or coffee?
→ ‘Either. I don’t mind.’ (= tea or coffee)
→ ‘I don’t want either.’ (NOT I don’t want neither)
→ ‘Neither.’ (= not tea or coffee)

…Last year I went to Paris and Rome. I liked both citiES very much.
…First I worked in an office, and later in a shop. Neither job was very interesting.
…There are two ways from here to the station. You can go either way

Question 2

• both of … / either of … / neither of …both (of) the …
  either of these/those …
  neither my/your/Paul’s … etc.→ You can say both of the/those/my … OR both the/those/my … (WITH or WITHOUT of)

Answer 2

…Neither of my parents is British.
…I haven’t read either of these books.
…I like both of those pictures.

...I like both of those pictures.
OR
...I like both those pictures.
...Both of Paul’s sisters are married.
OR
...Both Paul’s sisters are married. 

but Neither of Paul’s sisters is married. (NOT Neither Paul’s sisters)

Question 3

• both of them / neither of usboth them
  either of us
  neither you

Answer 3

…Paul has two sisters. Both of them are married.
…Sue and I didn’t eat anything. Neither of us was hungry.
…Who are those two people? I don’t know either of them.