I feel confused about these two types of web wallet. I really do not know what kind should I use to store my Bitcoin. I do not understand many of the
issues related to technical of Bitcoin as well as the features of the two types that wallet. I hope you do have experience as well as a good
understanding of the two kind of these wallet for making comments about them to help me be able to choose the kind of better.
I sincerely thank you very much for your help all.
Coinbase is the worst XBT service available on many levels. My guess is that the majority of their profits actually come from selling user data to government agencies and from market manipulation (front running / strategic order cancellations). You might as well just use a bank and fiat, you'll get certainly get better customer service and it's much faster to open accounts and transfer money.
Blockchain.info is far better than Coinbase but I still would not use it except for experimenting. There are too many ways to lose your XBT on there - most notably the TOR vulnerability. 2FA as we use it today is not actually secure.
By far the best 'web wallet' is mytrezor.com - it is well worth the $120US or whatever for the hardware & data service. It's very easy to use and as far as I know the most secure option available. Use that as your bank and then find a nice mobile wallet like Mycelium or Breadwallet to store small amounts on for daily use. The Trezor device needs a higher build quality for the case (the plastic is cheap and should be replaced with wood or metal) and I hear the server has occasional downtime, but I've never experienced any problems with the server or the device.