Exodus / Ethereum wallet question

[Superfalcon]

Hi

I have a question regarding all these Ethereum tokens. If I look at myEtherWallet I see all my different ETH tokens "attached" to my ETH address. But is there a way to transmit the complete balance of myetherwallet to my Exodus ETH address and the tokens are still there, even though I don't see them in the wallet? And later on when I transmit my whole ETH balance back to myEtherwallet they would be displayed again?

This part still confuses me a bit. I don't want 100 different wallets and would like to store them in one place.