Do you have the private key for this address?
If yes then just export the private keys into electrum, then send the bitcoins contained inside that address to a new wallet. Then you can import your empty private key into a bitcoin cash supported wallet client or whatever.
Ok so just do a transaction with myself? Then export the key from the first wallet to a BCH wallet? That sounds too simple. Do I have it right?
Yep. Send away the BTC and then export the key to a BCH wallet. You can find BCH wallets on
their official website.
My only issue with this is how do I account for fees? I want to clean out the wallet completely. Is that possible with a transaction where I'll be guessing at the fee?
Electrum has dynamic fee estimation. If necessary, you can decide your transaction fee in satoshi/byte using
this site to figure out how long your transaction will take to confirm.
Mycelium and Electrum are both wallets meant monstly for the "technical users"
The features in those wallets are quite important to the average user and the "user friendly" wallets don't always handle the coins that well. It's important for users to set their own fees for example, because the fee estimation in a lot of wallets results in people paying super high fees. Bitcoin Core and other full nodes are what I would regard to be "technical" wallets.