Computer dying- Are Wallets in harddisk Drive?

[Towdogs]

  I have a Dying computer.  It won't stay on. I bought the exact same computer on  ebay used.  if I change out hard disk drive from my dying computer will that carry my wallets With Coins in then to the ebay computer?
  I tried a thumb drve or memory stick. not sure what it is called.  But it tore all wallets to pieces. tried to burn them to dvd or cd disk. put disk in a laptop I had some wallets but not all of them and no coins in them. I could not see the the coins anyway. wallets also needed to re sync.

 Do I need to ground my body to computer before removing hard disk drive?

     Thank You For Your Help!!!