So, having said that, does anybody know how to transfer ETH anonymously?...maybe someone could suggest a program, platform that could allow that?
Is ethereum having full node wallet? You can make use of the full node wallet.
Or if you are using SPV wallet, you will need to make use of coin control appropriately. Use Tor anytime to you want to use your wallet, change your relay circute if connecting to another wallet, make use of severage wallets. Access each wallet with different Tor relay circute.
Generally not using IP addresses for any connection related to your wallet.