There should be no problem. I wiped/formatted the factory C drive and reinstalled a fresh copy of Windows 10 version 1803 with my USB flash drive and my license remained intact.
To copy the content of the 1TB HDD to a SSD drive, you can use a disk cloning program. Just make sure the SSD hard drive is large enough to accept the 1TB disk image transfer.
What I did was to repartition/resize the 1TB HDD into two partitions - 200GB for the Windows C drive and the rest for my apps and media. When I install a SSD drive later, I would clone my 200GB C drive to the SSD drive.