If you choose your wallet or phone software, you need to be extra careful! Remember that bitcoins are stored inside your device. If your computer or phone breaks down, your bitcoin is gone too!
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Haha, very true. Bitcoin is not a thing which gets stored over the phone! Its just floating algorithm around the blockchain and added into the blocks and stored over there forever.
About the security, yeah we can just be extra careful about the private key storage and nothing else. As that is the only Lin between your bitcoin and a thieve from getting it stolen. So just have private keys stored "privately" that would be enough.