Thank you again everyone for your responses.
I am just trying to understand.
1) So I convert all my altcoins to one of the coins that Coinbase supports. I already have a Coinbase account. Can you tell me which one of the Coinbase supported coins has the lowest fees for this transaction and what would be the amount/percentage of the fee?
2) Can't I sell the coin (a supported coin) on Coinbase and then move the money from Coinbase to my bank?