What I would do is firstly make sure you are in multitrack view.
I would then split the chorus , drop it down to a new track and slide it to roughly where you want it to be on the track below.
then expand out so you can see where the next beat lands (the one where youi want the chorus to start and line up the relevant beat on the chorus below.
Split the track above and move the rest of the song to the right.
Now repeat with the rest of the song ie line the rest of the song up based on the last beat of the chorus.