the oil ones I assume are the electric rads?
calor heaters is what my parents are using at the moment as they live in an all electric village with no gas
we've used them quite a lot in the past, the first time being when we lived in a house in Glasgow with 12ft high ceilings, and having tried coal, wood, parafin (don't ask) and fan heating, the calor heater was most effective and cheapest
in this day and age, with hermetically sealed double glazing, you need to set your window to it's ventilation 'closed' - you know how there's like a double catch on upvc windows? Calor gas burns the oxygen out of the air, creating carbon dioxide (not carbon monoxide - don't panic) and water, so another side effect is increased condensation, so be prepared to deal with that either by ventilation extraction, or dehumidifying (either by electrical or chemical means)
At the moment I'm deliberating over alternatives to running the heating whilst I'm home during the day. There's a lot to be said for only heating the room you're in with the gas fire (I've never liked central heating for tons of reasons) but our's is one of those coal impersonating ones which costs as much as the heating to run! I'm considering dragging the calor heater out of the garage to use during the day instead of heating the whole house
the cheapest way to deal with the problem is to take the kids round to your mum's