...what exactly is a 'clean install?' That sounds like a great deal of trouble -- is it? (Please forgive me if this is a very computer-illiterate question, I'm just not that into computers.)
It's what it sounds like--the installer sets up a completely "clean" copy of the OS, with nothing but what you asked for.
This isn't particularly complicated; if you boot from either a 10.5/10.6 disc (if you've upgraded) or the OS install disc that came with your computer, there is an option to "Archive and Install, preserving users"--what this does is move all the system folders to a "previous systems" folder and lay down a clean copy of the OS, but it keeps your user folder, so when you log in all of your personal settings will be exactly as before. Run Software Update to get back to the latest version of everything, and you're good to go.
Some applications with installers (Photoshop, for example) may require being reinstalled, but most will be moved over without incident. And, when you do this, you can select under the Options button which specific components to install or leave out; by leaving out printer drivers and language files, you'll save yourself a couple of gigabytes of unnecessary stuff.
Of course, if you haven't already upgraded to Snow Leopard, might be worth it--it's cheap, and even if you DON'T remove the unnecessary stuff, it's still significantly smaller than 10.5/10.4, on account of Apple having removed a lot of legacy junk and compressed some files.
Though the archive and install and/or 10.6 upgrade process should be easy and smooth, that doesn't mean you shouldn't have a backup just in case, which brings us to...
So far this thread is really good, thank you to all the wise contributors.
New topic --
Do macs provide some kind of a convenient, preferable, or desirable way to backup one's system?
Yes, it's called Time Machine--look it up. It was added in 10.5, if you're still on 10.4, and is incredibly easy--you add a second drive to back up to, point Time Machine at it, and you're done--it keeps versions ranging from every hour to every week for as long as there's enough space to do so. The backups include all of your personal files and settings, as well as applications and other stuff. If it's an external drive that's not always connected, Time Machine will back up whenever the drive is available, or can be set to run manually by selecting it in the menu bar.
If you aren't using 10.5 yet, that alone is reason to upgrade. If you are, look it up.
There are of course hundreds of other backup programs; if you want a fully bootable backup, then using the free Carbon Copy Cloner to clone your boot drive to a Firewire external will allow you to boot right off said external in the event of a catastrophic failure, although it's far less transparent and background-y to run than Time Machine. I also personally use Sync to do server backups, and I hear SuperDuper recommended a lot, too.
Really, though, it sounds like Time Machine will be good enough for you.