I meaning that transaction fee low.
Coinbase wallet is so much high transaction fee.
0.001 btc. its so much.
So little fee wallet needed
For bitcoin web wallet i recommend blockchain.info, you can customize the fee and the fee for each transaction is depend, more fee more faster you transaction get confirmed. For dekstop wallet i recommend electrum wallet. 0.001btc fee for exchanges sites is normal though, that's why i never keep my coins on that kind of site.
I agree with you, blockchain wallet does offer a cheaper fee to us, I use it as well. I have several reasons why I use blockchain.
1. The transactions we do are safe
2. Our bitcoin is safe
3. Offer a relatively low fee
4. Available API for online shop merchant.