Ah - ok, so offline wallets are the way to go...like Electrum and stuff, yeah?.  Never really looked into them.

<Runs off to google>

Right, first off I'm not a techie.  Every guide I see to securing bitcoins has masses of complex instructions.

I narrowly missed the inputs.io mess, by getting the coins out quickly into coinbase, but inputs.io has left me very, very nervous about online wallets and I want to get at least some offline.  I know fine well that there are excellent guides out there to properly securing a wallet.  I don't understand them, don't have a spare computer (or even a printer) to do it all properly.

So what I've done is I've gone to bitaddress.org.  Generated an address and private key.  Screenshotted the page and saved the screenshot as a file on my laptop. Is this now a secure address that I can send some btc to so long as I don't lose the private key file?  As far as I can see the only risk is someone hacking my computer and stealing that file, the private key has never been typed, so no keylogging issue.  Yes?

Next how do I secure that file because I am a fuckwit, who cannot be trusted with bits of paper and computers sometimes die/get hacked/get corrupted. 

Can I store it securely online somehow? (I get the feeling the answer is going to be no here, but worth an ask)
Put it on a usb and delete the file from my computer? (hmm, may lose the usb, I told you I am a fuckwit)
Etch the private key into a wall in my house?
Commit the private key to memory through sheer willpower?