Time Machine Restore To New iMac - Restore everything or less system files?

I have a newer imac and want to take everything from my old system to my new system. However, they are on different operating systems and I dont want to mess up the new one. Too many files to select individually but in short I want everything, passwords, photos, documents etc. Old system running Catalina, newer one running Monterey. I have icloud and a time machine backup but the time machine backup (from fresh clean backup) is showing more than twice the amount shown on icloud so I'm wary I've got it copying everything on icloud.

I've looked at vids and they seem to concentrate on a complete re-install or a couple of files only. Any assistance appreciated!