Exchange to Secret bridge? Secret to Ethereum fee?

Hey everyone,

I would board the ship in December but didn’t. Finally, I got some SCRT today. I watched the bridging video and I have two questions to which I couldn’t find the answers.

1- As I see, secretswap is modeled like the private version of Uniswap. So in that case, I cannot transfer my ERC-20 funds to the Secret Network directly. First, I have to transfer them to my Ethereum wallet. Is it true? If not so, could you show me how I can transfer my ERC-20 assets to the Secret Network?

2- While the user is transferring her asset from Secret to Ethereum, I see her pay just Secret fee. Who pays the fee in Ethereum side? If not the user, how is it made sustainable?