Forum Moderators: phranque
If you try to make the new drive the system drive, you will probably have to reinstall all your software and start with a clean install, wiping the OS and files from the old drive.
After copying, bring the system up on the new drive installed as the C: drive to confirm it. When satisfied, add the old drive as the D: drive, format it and start storing data.
I agree with txbakers suggestion assuming the performance of the drives is similar. However, newer or larger drives are often substantially quicker and you'll get best performance when the op system is on the fastest drive in your machine.