This is what I did: I bought a WD Black (4T) and an enclosure for my old HD. First I put the WD disk in the enclosure and made a copy using CarbonCopy Cloner. The first copy failed somewhere during the night so I retried with all the energy/screen saving features off, network off and connected the enclosure directly to the iMac instead of using my usb hub. This went okay.
Then I opened up my iMac and swapped the disks. I put the thermal connector in a position away from the other connectors.
Then booted the iMac from the old HD, OSX does this automatically and selected the new WD as start up disk in the System Preferences. Rebooted.
iFixit!