You can search and find a backup system (external enclosure) that is one touch (set it and walk away). These are enclosures and drives that a company puts together on what they feel is best. It would have an enclosure AND a drive that they want you to have.
I have given you an enclosure that both my son and I now prefer (at the present time). We have both had issues with the fans on the enclosures going bad, as well as poor cables, and difficult to install and remove the drive. My son and I use them for backups and will swap drives in and out on a couple of them. For us, easy access to opening and closing the enclosure.
debo3381 has given you an enclosure on what he prefers.
It sounds like both of us prefer to buy an enclosure and add a hard drive. That is our choice.
What you have chosen from ebay as a 1tb drive is all and good. Personally, I do not like ebay. I have had issues. You can buy that drive for $109.00 and pay shipping.
Or go to HERE at Newegg and get it for $119.00 and free shipping (and its new). Is the one on ebay new? I believe this one is an ide drive.
You can also go to Newegg and get THIS ONE for $119.00 It is Sata and will be faster. Unfortunately I can not vouch for speed because I am partial to the ide drives. It is probably that I am an older person and this is new technology.
So as you see, we can recommend what we like. We can not buy it for you. That is your personal choice.
As a side note, I would bet that if 10 more people posted and gave their opinion, you would have 10 more choices and views of what they like.
If it was me, I would buy the enclosure that I recommended (sorry debo3381), and buy the 1TB sata drive.
FYI: Once you get the drive, it is just a matter of plugging in the power and the USB to the laptop. You will probably have to format it before it can be used. This is all after you put the drive in the enclosure.
If you need any more assistence, please post. And sorry I have been away most of the week. That is why this is a forum and there are others that are perfectly capable of helping.
Please let us know how you make out.