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At first , I know there is cold and worm wallet.
The cold is a hardware that store coins in it
And the warm is a software or a site on internet that store coins on internet or in the laptop or mobile ( is what I already know right ?)
Close but a little bit wrong.The cold is a hardware that store coins in it
And the warm is a software or a site on internet that store coins on internet or in the laptop or mobile ( is what I already know right ?)
A cold storage is a method to keep your Bitcoin offline from the internet, usually used when you are holding a large sum of bitcoins as a security measure.
Bitcoin based company such as Bitpay, Coinbase, etc. Usually has Both Cold and Hot wallet, Hot wallet will be used for their daily transactions while Cold Wallet will be used as their collateral and reserves in case their website got hacked and all of their Hot wallet get stolen.
https://en.bitcoin.it/wiki/Cold_storage
https://en.bitcoin.it/wiki/Hot_wallet <<< For reference.
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But what I'm trying to know about soft wallets like Bitpay, Enjin or BitCoin Core wallets , do they store bitcoins on the device or on internet ?
Bitpay uses Both Cold and Hot Wallet, as I've said above.I don't know anything about Enjin.
Bitcoin Core wallet needs to be connected to Internet to be used, so it is a Hot wallet, although you can save your Wallet file to be used as Cold Storage.
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So if l have bitcoins in my mobile wallet and the mobile drop in water and gone!, did the coins gone too or I can get them back in a new mobile by the recovery key?
As long as you have either the Wallet file or Seed/Mnemonic Phrase Backed up somewhere you are safe.Quote
And I'm sorry for my weak English
I've seen worse 
