I would most certainly agree with JackNaylor re his advice that you would be much better served by purchasing a USB external enclosure + separate HDD rather than a commercial "one-piece" USB external drive.
The advantages of doing so are significant. First of all, virtually any USBEHD enclosure you purchase will accommodate both 2 1/2" & 3 1/2" drives. That's a real advantage. Then you can purchase the HDD *you*, not the HDD that's installed in the commercial product. Rest assured the drive *you* purchase will invariably prove superior to the commercial product.
And you can select whatever disk capacity *you* desire. Another advantage is that the HDD you install in the USBEHD can always be easily removed and installed in a PC should that need arise. Well all is said & done there's simply no downside going this route; even $-wise the difference will be slight, if not trivial between the two types.
Still another significant advantage is the fact that by using a separate USBEHD enclosure + HDD you will have UNLIMITED capability to utilize any number of different HDDs/SSDs for whatever purpose(s) you deem necessary or desirable.
You will have an enormous choice as to the type of USB enclosure that appeals to you. One type is the so-called "docking station" as recommended by JackNaylor.
There are plenty of other types of enclosures. Right now, as an example, we're using the Orico 6518US3 model. See...
http://www.amazon.com/ORICO-6518US3-Super-Docking-Station/dp/B00CBPB4PM
Newegg also carries this model and recently had it on sale for $19.99. And there are many others to choose from.
And it's child's play to install and/or reinstall a HDD in & out of a USB external enclosure - whatever the type.
I might also mention that many users employ a SATA-to-USB adapter device for connecting a SATA HDD or SSD to a USB port. Here's one example...
http://www.newegg.com/Product/Product.aspx?
Item=N82E16812232027&cm_re=SATA_to_USB_adapter-_-12-232-027-_-Product
Although I'm aware that many users are satisfied with this type of device frankly, we're not one of them. By & large our experience with these type of devices has been quite negative - we've found too many of them to be defective or erratic in operation. We just don't use them any more.
Now as to a backup strategy...
Consider a disk-cloning methodology to comprehensively back up your entire system. As a general proposition it's the safest & surest way to back up your day-to-day working HDD/SSD as well as any other drives that may be installed in your system.
The basic object of a disk-cloning program is that by cloning the contents of one's day-to-day working HDD or SSD to another HDD/SSD (internal or external), the user creates a precise copy of his or her "source" HDD/SSD. Thus, a comprehensive backup of one's system has been accomplished in one fell swoop, i.e., the user has backed up his/her *entire* system including the operating system, all programs & applications, registry, configurations, and of course, all user-created data. In short - *everything* that's on the source drive. So that the recipient of the cloned contents - the "destination" HDD/SSD - will be, for all practical purposes a precise copy of the source HDD with all data immediately accessible. What better backup system can one have?
So that in the event that the user's system drive fails or the OS becomes corrupted and unbootable, the user has the means at hand to virtually immediately restore the system to its previous bootable functional state easily & relatively quickly without the need for any "recovery" type process. The peace-of-mind this affords a PC user cannot be overestimated.
If you think you may be interested in this approach I can provide you with additional details re the disk-cloning program I use and my reasons for using this particular program.