...I use a fan heater connected to a thermostat set at 5C ...
Paraffin is not cheap. Depending on what tariff you are on, electricity may cost half the price of paraffin.
I believe that 1 litre of paraffin gives out the same amount of heat as 10 kilowatt-hours of electricity.
If you buy paraffin in 4litre cans, that costs about £3 per litre. So how much does your electricity supplier charge you for 10 kilowatt hours of electricity? It should be between 90p and £1.50, depending on tariffs. My estimates are very approximate and anyone else is welcome to correct them.
Electricity is also a lot more convenent, and safer. The thermostat on electric heaters means that they will switch off automatically when the desired temperature is reached, so you will save even more money. Electric fan heaters also help to circulate the air.
You have the problem of getting a power supply to the greenhouse, but that shouldn't be too difficult to arrange.