Thanks a lot for all your answers.

I believe you are aware of the issue with all the ERC20 tokens. You need the proper ETH wallet (OK, web wallet will do) and some liquid ETH in it when you want to move these tokens to pay for gas.

Of course, you don't need this when you are using exchanges only.

There is this distinction between the exchange wallet and real ETH wallet (including with the story who is in control of the private keys) that people skip to understand.

And then there is ethereum gas, one of the more obscure concepts in the blockchain world :)

I hope that all goes well and that there won't be any unnecessary confusion...