I store my bitcoin in a web wallet i think its the most recommended wallet of all because what ever device you are using you can use your bitcoin or you can open it you just need a internet connection and a browser.
That is not true in my opinion, nobody will recommend you a web wallet if you are looking for something else in wallet service.
Web wallet might be indeed a best solution for someone that needs to have access to his bitcoins everywhere in the world, for example if someone is in the journey around the world, then he needs to be able to connect to his wallet through some kind of a mobile device: smarphone, tablet or anything else.
But if you need security more than being capable of connecting to it from any place, then paper wallet or a hardware one is better.
So as you can see, web wallet is not the most recommended one. It is only useful in some situations, but I do not advise you to rely on this type of way to store your bitcoins.