To move your Guardian Node to a new computer, you first need to install the GN app on the new computer (it will have a new node address). Then, take the keystore file from your original GN and swap it into the same folder on the new computer. The keystore file is located here:
on PC: C:\Users(your username)\AppData\Roaming\Theta Guardian Node\ThetaGN\configs\mainnet\key\encrypted on Mac: /Users/(your username)/Library/Application Support/Theta Guardian Node/ThetaGN/configs/mainnet/key/encrypted
Then after you've replaced the keystore on the new computer with your original keystore, start up the GN app on the new computer and it will be your original node with the tokens still staked to it.
For the Edge Node, you can just re-stake the TFUEL in that new node you made.