A dehumidifier would have to be one of the dessicant types, not refrigerant, or it will freeze up when the temp is below a few degrees C.
We run a couple in carcoons in our garages. Ecoair is the make, I think.
If you don't want to be emptying the tank every few days there are many that allow piping the water to a convenient drain point outside.
For a few pounds more a digital temp and humidity display is also useful. It helps to see what the dehumidifier is achieving if there's no humidity display on the unit itself.
For speedy heating when work has to be done I find a small fan heater to be just the thing. Cheap ones from Argos have worked for me. But, as noted above, insulation is hard to beat when it comes to keeping running costs down.