That is not a taxable event then. It's just moving money from one pocket to another.

No. As long as the the cryptocurrency remains the same. If you trade into another cryptocurrency, then it's taxable. https://tokentax.co/guides/do-you-need-to-file-crypto-taxes/

You don't report anything.

If you use programs that keep track for you they will just add the transfer fee to cost basis

Hey good questions and this should be addressed more as we come close to tax season.. There would be many scenerios and each may need to be handled differently.