When choosing a bitcoin wallet, it's very important that the wallet you choose gives you access to your private keys. Coinbase doesn't, so pretty much when Coinbase gets hacked then chances are, your bitcoins are gone. Only use Coinbase as a way of purchasing bitcoin, not as a wallet. Blockchain.info's wallet is fine, but I'd prefer Electrum for Windows, Copay for Android, and Breadwallet for iOS.
Thanks, that is the impression I got. My next step is to set up a Blockchain.info wallet and transfer some of my coins into it.
Loads of useful stuff.
Thanks for the really useful reply. I didn't realise I was breaking forum rules, I had looked for a multi-quote option.
I need to get my head around trading, although to start with I will be trying to buy in the dips and hold.
As I've mentioned, my next step is to try out some other wallets, and maybe sources for coins, but thanks for the warnings. I consider myself web savvy, but do realise that Bitcoins are a bit like the wild west, so I need to be extra careful.