How to move a Linux installation to newer hardware?

I have an existing home server installed with CentOS 7, running on hardware and an SSD that is getting quite old. The system is Intel based: - Core i7 4770K @ 3.5 GHz - 16 GB Corsair Vengeance DDR3 RAM - Gigabyte GA-B85-HD3 - Samsung 840 EVO 500 GB SSD - Linux Kernel: 3.10.0-1127.19.1.el7 I just tried booting the drive in a newer AMD Ryzen based machine, and the boot was not happy at all, almost an immediate kernel panic and lockup. The current machine on memtest is showing a host of errors, listing in the hundreds, of random memory locations, different on every test. The SSD is listing as having bad sectors, so I'd like to upgrade the machine. How do I go about this, while keeping the current OS? What are the criteria for compatible hardware on which the OS can run?