I think about this kind of thing a lot. Probably more than is healthy, actually....
At any rate, I wouldn't think about this question in terms of "what sword will I buy," but "what sword will I buy that will maximize my home's defensive potential?"
This is really a mindset thing. Just go around your home and look for the stuff that could work for you. From where I'm sitting at my computer right now, I can reach three tactical folders, the chair I'm sitting one (the chair is an awesome weapon if you have the room to use it, by the way), a club-shaped vase, the chair next to me, an aluminum handled mop (better than nothing), and this blocky glass lamp thing I can throw ($12 for two at Ikea). I always say, any weapon is better than no weapon. I believe Machiavelli has a quote to that effect....at any rate, know what you already have among your mundane items that can work in your favor. Most people have a kitchen knife rack. Butcher knives and meat cleavers are scary fighting tools. Got a toolset? Screwdriver (Rondel technique, baby!) and hammers. I have a ton of sturdy lumber stored by my door for waster-making projects, most of which will work. Incidentally, I discovered that a rounded bar of hickory (all four edges rounded like a waster blade--they told me it was called a bullnose) makes an effective, light, and relatively balanced too that's easy to hold and should focus the force along the thin "blade" edge. It's also pretty inconspicuous and easily explained.
So under the bed I've got the flashlight. I've got two sharps, but I'd never even bother, too bulky, even the smallsword. Various cudgely items behind books on the bookcase, steel rods on the porch left over from the last crafting project I was working on. Generally, most houses are packed with effective self-defense tools, you just have to think the right way about them. And pick them up with that thought in mind, occasionally, so you know how it feels and what techniques you can apply with it.
Also definitely get some empty hand skills that you feel you can count on. Ensures that you can get to the weapon you need. But keep that weapon in mind; don't fall into the trap some self-defense teachers tout (ludicrously, in my mind) that you only need martial arts/whatever they're selling you to protect yourself. Heck, I'd keep a brick in every room if I had to. Those things are better weapons that people think, you know?
By the way, this is all assuming that you can't get a gun, which should be ideally kept in a quick-access gun safe with a full magazine next to it. Maybe barring that, a taser (the kind that shoots off with a CO2 cartridge).
Gene--you're in Texas, if I remember. Sorry to hear you lamenting the overly-restrictive weapons laws, too. Here in the People's Republic of California, we look to Texas as kind of the promised land of free personal weapons ownership....is it all a myth? Here we don't even get more than ten bullets (unless they made that federal)....'Cuz you know, bullet #11 is the one that does the real damage....and criminals never buy illegal weapons....yeah....
(Sorry, couldn't resist going slightly off topic. I promise I'm done now....)
Jason
I'm impatient with stupidity. My people have learned to live without it.--The Day the Earth Stood Still