Exodus wallet is also good. It allows you to store the seed phrases, has an exchange, stores private keys locally. But does it allow using custom fees? I'm not sure about that. Somebody else could help you out on this one.

It doesn't. If you use Exodus and want to send a tx with custom fees, you will need to import it in Electrum or a similar wallet, then make the transaction from there. Some people use Electrum for BTC and Exodus for the other alts (all with the same seed).