My reptile room is a small room. It's in the basement, which unfortunately gets pretty cold in the winter, despite me insulating the window and under the door.

I've been getting by with a cheap electric space heater with a built-in thermostat that I check several times a day, but I'd like to look at making things safer and more stable in there.

What is a small, affordable space heater that would work well in my snake room? Could I hook it up to a cheap hydrofarm thermostat for safety, or would I need to get a more expensive proportional thermostat for it?

And...how do I hang a probe from the ceiling?