Sorry, the Bitcoin system isn't a good place for morons to store their wealth quite yet.  Wait about 5 more years and it will be far better for use by idiots.  Presently, it requires some understanding of concepts which are somewhat abstract and complex.  

Probably the first thing you should know is there aren't any bitcoins and as such you can't store them anywhere.  They are merely an abstraction.  What is really funny is, there aren't really any bitcoin even in the abstraction!  There is merely a long list (ledger) of entries which basically say: "Fred mined 2 bitcoins and sold them to Sally who gave 2 bitcoins to Jim, then jim gave 1 to mike, .5 to sam and .5 to himself".  The ledger doesn't really note anything like the serial number of some 'bitcoin' - rather it just marks in an indelible manner the ownership as they (bitcoins) moved from one owner to another.  So you can't just 'copy' a bitcoin with cut and paste. 

Get it?

Short version:
Bitcoin are not stored on your PC only, they are stored in the blockchain, a file everybody has, who uses a Bitcoin-client, but you are the only one, who has the private key, which is basically a (super long, super safe) password, that is impossible to hack, even with all the super computers in the world. You need your password to access your Bitcoins. So, you can copy your private key, but not the Bitcoin. When your private key gets stolen, the thief can move your Bitcoin.

The long version involves learning about cryptography. You can look up, why cryptography is safe, to understand why your Bitcoin are safe.

I don't know, what is wrong with people like you.
Yes, even an idiot can use Bitcoin. You can teach everybody to make a paper wallet or use something like Trezor to store your private key safely.
Not everybody who uses Bitcoin is a computer scientist.

this will help https://en.bitcoin.it/wiki/Private_key

This is one of the best videos to help get you up to speed:

http://m.youtube.com/watch?v=Um63OQz3bjo

I had already seen it. I get that bitcoin amounts are stored in the blockchain, but then what are wallets used for? What does a wallet actually contain? How can you move bitcoins from a wallet to another? Why people say they stored their bitcoins online and they were stolen? Can anyone answer those specific questions?

If you haven't read it yet, then you really need to read the bitcoin whitepaper before you ask any more questions.  Here's a link to it for you.
https://bitcoin.org/bitcoin.pdf

Once you've read that, let me know if you have any additional questions.


The wallet stores your private keys.  Electronic wallets also provide a user friendly way to create, sign, and broadcast transactions that re-assign the value that is associated with the bitcoin addresses that are generated from the private keys.  Most wallets also provide a way to keep track of how much value your private keys provide control of.


At a bare minimun, your private keys.  Most wallets also contain the bitcoin addresses that are generated from the private keys so that they don't need to be re-generated every time you need to use them.  Electronic wallets (and wallet software) generally keep track of all the unspent transaction outputs that provide value that the wallet has the ability to re-assign.  Some wallets also provide a way for you to create notes to yourself that can be attached to addresses or transactions to remind you later what they were for.


The typical way is to use the wallet software from the first wallet to create a transaction that assigns the value to an address under the control of the second wallet. The wallet software handles using the private key to generate a digital signature that authorizes the transfer and handles broadcasting that transaction to the network.  Eventually the transaction makes it into the blcokchain and the value is then under the control of the second wallet.


There are services online that will offer to hold the bitcoin for you.  Essentially you transfer control of the value to the service, and then you trust them to send it back to you (or to send it anywhere else that you ask them to send it) whenever you request it.  Many of these services have turned out to be scams.  After the users transfers control of the value to the service, the person that runs the service disappears and keeps control of the bitcoins for themselves.


Yes.

Don't really get the point of insulting people who are seeking more information about Bitcoin.
To me, that is moronic.

What?!!!  Are you kidding me?  How DARE you call me a moron!!!  I demand retraction.  I'll report you to the moderator if I can't have my written apology before the next block!  

Right? Everyone here has a vested interest in Bitcoins success, it makes no sense to be rude and an asshat to new adopters