If I were to buy a computer for the sole purpose of backing up and syncing my iPhone, what would be my cheapest possible option? The only requirements are that it needs at least 32GB worth of free space (plus a little more), it needs to be capable of connecting to the Internet, and it needs to be capable of running iTunes (and that too a version of iTunes recent enough to support the iPhone 7).
I think the cheapest possible computers are Chromebooks, i.e. computers that run Chrome OS, but iTunes doesn't support Chrome OS. The other option is getting an Intel Compute Stick, which is like 100 or 200 dollars, and then inserting an SD card to expand its storage space.
Now I'm aware I could just back my phone to iCloud, but there are two problems with that. First, you have to pay if you want more than 5GB worth of storage. And second, in iCloud you can't do certain things you can do in iTunes, like like putting an app in your "purchased apps" list so that your phone can get the last compatible version of the app.