All electric heating costs 4 times as much as gas/oil except storage heating which is only half as dear. A good thermostatic control will help you prevent the room from overheating and will save money.
Oil filled heaters hold the heat longer but they also take a while to heat up. There are no magical properties in the oil! It costs the same to heat a room with a fan heater as an oil filled rad, except you are more likely to overheat the room with a fan heater.
Anyone who tries to sell you a "more efficient" electric heating system is unaware of the laws of thermodynamics.
[broken link removed]
Whats up with the UFH? Is the boiler broken, control system not working or the pipes leaking?
You might be able to rescue it.