Bitcoin Cash - How to get estimated fee and send transaction
The fees for Bitcoin and Bitcoin Cash are not fixed, but are driven by supply (block space) and demand (transaction volume) in their respective markets.  They are independent of each other, so prevailing fees for Bitcoin are not likely to be representative of Bitcoin Cash fees.

I don't know of any sites that track Bitcoin Cash fees in the same way as Bitcoin.  However you can see some historical data at sites like this one.