I asked the same, might have a solution so far.

I have exodus wallet which is not supporting BTG.

I think this is the safest way to do it:
1. Send Bitcoin to another wallet (I will send them to Coinbase from Exodus)
2. Then you export your private keys from your wallet you had Bitcoins in. (that means to me that I have to export my private keys from Exodus)
3. After 1st of November, you have to find a TRUSTED wallet which supports Bitcoin gold. I do not know which wallet that is. When you find a wallet which support Bitcoin gold, you need to open that wallet with your private key. I have no clue how you do that. But I am trying to learn.

Anyone else agree?

I started another thread here about the same topic:
https://bitcointalk.org/index.php?topic=2311508.new#new