How do I make a seamless in place teleport

So basically, I am making an elevator but, in this situation, it will not be possible for me to make the elevator car move from point A to point B so I need to teleport the players.

I am not sure what to do I have tried a few things, but nothing has worked.

I want the players to be in the same place when they get teleported so that you can’t really notice.

Check for people who have asked the same question as you before posting.

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Thanks. I will look for other posts in future!