The thing is - you traditionally didnt elect electors - they were chosen by the party boss of the political party that won the presidency.
Its still done that way in most states but some have made them selected by a state appointed committee or picked by the governor of the state, etc; constitutionally the state gets to decide how.
You do vote for your electors, you go to the polls and vote.
Yes you do elect elect electors.
Well, traditionally (last two elections) I have helped select the electors for my party in my State... Twas great fun.
The other parties picked their slates of candidates.