None of you succeeded in answering my question.
I don't know maybe I didn't write it properly or perhaps I am misinterpreting the comments . Maybe I am in the Matrix I just can't believe in all these comments no one answered my question.
Ok, let me attempt to answer what I think is your question. Or rather should I ask: how could it possibly be the "word around town" that duplicate addresses are that easy to generate by mouse movements? That town obviously has no idea what they're talking about. What I have always heard was that it is near impossible to generate the same Bitcoin address twice. Like picking up the same grain of sand from all the beaches of the world.
Brain wallets are not safer - unless you're extremely smart and can remember a brain wallet after forgetting about it for 40 years.
And to answer the rest of your question, Go with what Litecoinguy said.