When is there a charge for sending/recieving BitCoins and other CryptoCurrencies I want to transfer BitCoins from my local wallet (to a new wallet) and then 'extract' the BitCoin Cash to a different new wallet.  Will I incur a charge?
If you move the bitcoins now, the bitcoin cash will stay where it is. There are now two separate chains, one for bitcoin and one for bitcoin cash. There is no reason to move the bitcoins. You need to move the bitcoin cash.

To do that you need two things:

1) Some tool that can compose and submit a bitcoin cash transaction.

2) The private key for the account(s) the bitcoin cash are stored in.