We installed under-floor electric heat from Warmly Yours (www.warmlyyours.com) in two bathrooms of our previous house. Best thing we did to it, and we did a full remodel of the place. These were very small bathrooms, perhaps 100 sq ft, and only about 70 of that had heating mesh under it (no need under tub, impossible under toilet and sink, etc.). As I recall, it was costing us only a few cents per day to heat each of these and it was the ONLY heat source in each bathroom. One was over an unfinished / unheated basement, and the other over an unheated crawl space. We kept the floors themselves at 82, and used an in-floor sensor to control the temp rather than an ambient room temp sensor, and I would strongly recommend that. These were the two most comfortable rooms in the whole house, and we live not far from Philadelphia (some cold days in winter). I found the Warmly Yours folks to be experts at offering advice, very honest, and able to give you a pretty good idea of what the heating cost would be prior to actually purchasing it, based on your area, type of construction, etc.
Our new house has hot water radiant floor heat installed by the previous owner in two bathrooms, and we do NOT like it as well. It takes longer to heat the floors than the electric type did, and you're heating water in a tank that then gets transferred to tubing in the floor, where the heat is transferred again. There has to be some significant loss in all that, rather than just having the elements right under the floor. H2O-based radiant heat is probably great for solar, where one has it all over the house and can make use of a boiler, and other large-scale operations. For a small space, though, I'd take the electric type any day after owning both.
You asked about thermostat, on/off, etc. We used the programmable thermostat Warmly Yours supplied. Can't remember which one it is, but you can find it online at their site (they used to sell only one). It did modify the power a bit rather than being simple on / off. Higher current was used when starting up after being off overnight or during the day, and less when the system was just cycling on and off to maintain a temp.
When we build our next home, the entire thing will be heated ONLY with radiant floor heating. Good Luck with it!
I use the Warmly Yours also and was apiece of cake to install. I also like their thermostat. I think they give you 10% off on your second order etc.