Exodus is pretty good.
Not really, no.
build-in exchange (but the fees are high)
Instant exchanges are the worst way of exchanging coins.
They lock up funds regularly and systematically for "security reasons" and require KYC.
Most of them (e.g. changelly) even lie about their country of origin.
and 24/7 support.
Which can't help you because they don't have access to your funds.
I don't like that you’re not able to choose the fee of your transactions. Some smaller wallets like OWNR provide the option to set variable transaction fees.
Every half-way decent wallet allows you to choose the fee.
p.s. Exodus doesn't require passing kyc 
Neither does any other non-custodial wallet.
They can't force you to do KYC if they don't have access to your coins.