Your new SSD will have it's unique letter to start with. After copy/paste is complete, change your original SSD drive letter to some other letter that has not been used. Then change the new SSD drive to be the letter that the original was. After that, you can remove the old drive. Programs will now look on the new SSD for your sim, as it has the "address" of the old drive now.
The reason you must rename your original to something else is so that letter can be used for the new drive. Get it?
Just last week I cloned my C: drive to a new 1T SSD. That was an adventure that lasted all day. The cloning went smoothly, once I settled on a program to use (EaseUS Todo Backup Free) and learned how to do it. But then I had to switch that drive with my operating system's C: drive somehow. There was a problem copying the MBR over, so the new drive wouldn't boot up. Argh! More cloning and googling brought me to a successful completion. I don't remember what I had to do to switch the drive letters over. Oh, some switching in the BIOS was involved also. I am glad I got it done though. With one terrabyte, I shouldn't have to do that again for a while.
So switching secondary drives should be a piece of cake, eh.