When you say new home, is it recent build or old build? That is to say, if old build check 1) loft insulation thickness 2) cavity wall insulation thickness.
Economy-7 is about 4.9p v Peak-Rate 10.4p.
All electric heating is 100% efficient at point of use, energy is neither created nor destroyed, so oil filled or ceramic brick or fan heater or thermodynamic bollocks fluid heaters all produce the same heat output.
There is a perception difference between fan heater & oil radiator & dark-red-radiant heater. An oil radiator will create a local hot spot around it along with some radiant warmth, very good at under-desks for avoiding cold legs. A fan heater conversely is very good at fast
*bulk* heating if, and only if, it has sufficient kW for the room size. A dark-red-radiant heater (=A3150) will directly heat objects rather than the air (the objects then heat the air), which gives instant warmth (little halogen heaters are very weak, but priced accordingly).
Now, there are many high priced heaters around: Aluminium radiators with thermodynamic fluid in, with silly claims attached. They are perfectly good all-welded aluminium radiators with oil, sometimes a timer or instead a basic thermostat. The actual radiator "itself" is worth about =A370 for 50cm width (750W) and =A3180 for 100cm width (1500W), a simple thermostat element "itself" is worth about =A345 and a timer unit about =A365, anything above that is over priced. Argos/Homebase sold Calortec last year, =A3105 got you a 700W well finished aluminium radiator with basic thermostat with offers and about as much as they are worth. Such aluminium radiators are popular in warm countries which require only infrequent heating, want the aesthetics or central controller, such as France, Spain & Portugal. Examples are Roiinte & Ducasa, plus I think Calortec & Karilel still exist. The silly claims are a play on wording based on "official studies". The claims are nonsense, peak rate heating unless you have
2010 levels of insulation is
*expensive* and
*horrifically expensive* if you have open chimneys (even with a dead gas fire stuck in them!). German ceramic block, thermodynamic bovine scatology pump, and so on. These are not storage heaters, they only duplicate the "high thermal capacity" of an old cast-iron radiator, they are for German levels of insulation (which is you have the albert hall outside and cupboard inside it re 200mm Polystyrene or Celotex).
The benefit of aluminium radiators is 1) design & style 2) thermal output for their size - hence the GCH crowd sometimes fit them. The cheaper ones are welded-aluminium, not much wrong with that but you can not change them. The more expensive ones are individual extrusions which you bolt together until something like 22 sections of 80mm width. They can be very attractive, Italy designs & makes quite a few with good finish re paint & edging - at a price.
There are better heaters than conventional storage heaters, and that is the commercial fan storage heater type. These are 240-285mm deep and run =A3550-1350 for 2kW to 8kW for 660-1610mm long. Some are a bit ugly and lack any on-peak heating element (Elnur do a 2-3-4-5kW version, Stiebel I think do 3-8kW cheap but very long), others such as Dimplex VFM & Creda TSF are more aesthetic and have an on-peak element. They all involve a super-insulated body which loses very little heat - 40% of heat is retained 17hrs after charge ceased which is the *next morning* never mind the evening. This avoids the cooking you overnight and freezing you during the day. The heat is pushed out of them via a fan controlled by a thermostat (often wall mounted like GCH), but at floor level - they do not leak heat out like a normal heater. The downside is their price, but they do work well. Germany has about 9 different types, basically Dimplex VFM is a good example. Very good for people who only have electric heating, but out all day and want more than background heat when they return - they are proving popular in America re 1) high insulation 2) large spaces 3) fit-n- forget reliability, and I bet they cost less than they do in the UK! :-)
So basically you insulate until you are warm enough :-) Thermal linings for curtains help even double glazing, checking draught excluders & hinges even on double glazing are working right helps too. If you do not have modern insulation that is the first thing to check.