I have the original backed up on a different computer, will this suffice or do I have to back it up on the device I am currently syncing on? Also, I watched a couple tutorials on how to back it up and I am seeing people using "back up" from Bitcoin Core to achieve this. Is there another method to back it up?
Cheers!
Your other backup should be enough for keeping your wallet safe enough (the it might be safer to have at least 2 backups).
Either method should work fine as one is for when your node/wallet software is running and the other is faster for when it's not running.