first thing you need to do is post your new Make & Model of your Motherboard, RAM Part Number, and Motherboard current BIOS version installed to determine what you will need to upgrade to the new Ryzen 5800X.
By posting your Motherboard and BIOS version I can check to see if your new processor will work out of the box or you will need to update your Motherboard BIOS to a newer version that will support your new processor.
The RAM Part Number I can check to see if it is listed on your Motherboard's QVL LIST FOR RAM for the 5000 series processor or on the RAM's manufacturer website.
The Ryzen 5800X has no Integrated Graphics so there are no Drivers to install.
You won't need to replace your SSD as long as it is compatible with your new Motherboard. You might need to do a clean Windows Installation if you have issues of Windows recognizing your new processor or Motherboard correctly.