We've always used the manual space heaters that are turned on when needed. Never used one with a thermostat before.
One workaround is using a timer like you would for xmas lights. So keep the space heater in the "on" setting and then plug it into a timer, which then plugs into the wall. Then you just program the timer for when you want it to come on during the winter.
I would strongly advise against "fan heaters" and instead would look for a "radiant heater" if you are going that direction. I HATE those fan heaters. They are loud and inefficient.
This seems to explain the differences/options available well:
https://www.canadiantire.ca/en/howto...ce-heater.html
I'd stick to oil, baseboard or infrared IMO. Otherwise, I have no advice on thermostat controlled versions. Seems like that option is mostly based on how much you are willing to spend, not the type you choose.