Assuming the new computer is running Ventura you will find iCloud settings by...
The new computer is running Monterey. Is this the show-stopper?
I did open ICloud anyway and all the boxes are checked but there is no button to initiate an action.
In my account, which is a new account required to boot the machine (it has a different name than my account on the old machine) most stuff is there except Mail. Mail is mostly vacant, which seems odd because that is the one thing definitely synched acroos the iMac, iPad and iPhone.
My wife's account is not there.