Hi. I have just installed Electum. I am looking to set it up for maximum possible privacy. I have seen a setting under the Transactions options stating "Coin Selection, Privacy or Priority". The default setting is Priority. If I was to change this to Privacy, what difference would this make?
Privacy will create new change addresses for each transaction and avoid reusing addresses or sending coins back to the same address they were sent from.
Under the Addresses section I can see a bunch of addresses which have been generated. Do new ones get added here over time or am I only assigned these for this account? Would it be recommended to use a different receiving address for every transaction or is this not really necessary?
Yes, you should use a different receiving address for each transaction for more privacy. That list of addresses will populate with new addresses as you use them.
Ultimately my plan is to get some bitcoins from One online wallet to another online Wallet so my plan is to use Electrum in the middle of these 2 online wallets. Online Wallet A > Electrum > Online Wallet B. I am hoping that by using Electrum I can completely break the link between these 2 online wallets, making it impossible to trace the transaction from Online wallet A to online wallet B.
Electrum is not a coin mixer and won't break the link between the two wallets. You will still be able to follow the transactions to see where the coins end up. To accomplish this, you would need to use a mixer such as BitMixer or similar.