I use Iodophor to clean my Therminator chiller. I back flush immediately after using it until the back flush water comes out crystal clean. I then soak in the leftover Iodophor from my fermenting bucket. Then, before I use it again, I submerge in Iodophor. My wort is usually pretty clean anyway because I use hope bags, so there's not usually a huge amount trying to pass through anyway.
I have seen a bunch of suggestions about drying, including the oven (relatively low temp for a couple of hours) but I haven't tried them yet. Drying is the only concern, especially with the therminator.
To me, the plate chiller is a no brainer. Living in the South, it would take me as long as 90 minutes to cool my wort with a 50' immersion chiller. With the plate chiller, I'm down to about 4 minutes, of as quick as I can get it through the chiller. I LOVE mine.