I now own one bitcoin in my coinbase wallet. It feels good. I am not sure why it feels so good but it does. I have a good feeling about Bitcoin. I am already up 20 euro after today. What could possibly go wrong. 
Good for you, now transfer that 1 bitcoin into your own desktop wallet That bitcoin isn't yours, because you don't have the access to your own private key which mean they are the one who own that coin
Download a desktop wallet, it's not really that hard to learn
I suggest electrum
Interesting i didnt know i didnt really own it. Electrum seems the way to go. Is this desktop wallet specific to just one machine.
When creating an Electrum wallet, you will get a string called a "seed". This seed is private information that should be written down and never stored digitally. Install Electrum on as many machines as you'd like, then you can load your wallet from this seed. Because all transactions are stored in the blockchain, Electrum will "sync" between the computers with the loaded seed.