BTW, do any of you guys use Coinbase? They don't charge a fee to send bitcoins out from your bitcoin wallet on any amount over 0.0001 BTC. So, basically, sending over 0.0001 bitcoin is free
You still pay transactions fees, Coinbase themselves just don't charge you any fees for allowing you to use their wallet.
No, you don't. Coinbase covers transaction fee, so you don't need to pay it. Proof:
https://community.coinbase.com/t/transaction-fees/7728/4