That's right, but these wallets are more unsecure. If you use the Bitcoin core or other local clients you have fees but also more security.
For small amounts it is okay, but if you have some bigger amounts of Bitcoin I really suggest not to store them on blockchain.info, xapo or other online wallets.
I just regocnized that there are different Fees - Im Using The Core Wallet which has less Fees than other like Xapo, or Core(Mobile)
Regards
XAPO and coinbase is 0% fee satosi
so how many fee you get with core wallet
are you get some satosi if you send your BTC
now i use coinbase & xapo and i will create blockchain wallet or mycellium to my main wallet