Following up -- here are the reasons I'm considering a single portable induction cooktop:
1. No carbon monoxide to worry about.
2. Since the cooktop doesn't get hot, you don't have to worry about radiant heat/accidental brush-by contact/something falling on it (non-ferrous) causing a fire
3. Less dangerous if it were knocked over while in use. (You could still get burned/scalded by the pot and its contents, but I don't think it would get hot enough to burn something directly.)
4. Less dangerous to touch accidentally (although woe if you touch it with ferrous jewelry, a fork, etc. Actually, more reading tells me that all of these units have pot detection which prevents the unit from generating a magnetic field unless a pot or similar is sitting on the pad.)
The pictures I've seen show a pot boiling water and ice cubes sitting directly on the pad next to the pot. Although I imagine radiant heat from the pot will melt the ice eventually faster than the room ambient air temp would...
It just generally seems safer than a standard electric coil burner. I wouldn't ever cook on a propane stove inside also.
I found a website
http://www.theinductionsite.com/ that seemed comprehensive on the subject.
I'm trying to decide between a Max Burton 6000 (~$95) and a Sunpentown SR-1881S (~$169). Both come with a induction-ready skillet and lid. I'll let you know what I find out when it arrives.