@mareep
Ok, expensive is relative (although our new energy provider thought we'd use £200 a month!), I'm more about being as energy efficient as possible.
Our water meter shows we use on average 160 litres a day (both hot and cold). @PigletJohn will the cylinder stay warm for a couple of days? it's a white one
If you don't use it...
I expect it will.
give it a try.
If not, lag the pipes around it, especially the ones coming out near the top, and any that are hot tp the touch.
Also, take photos, including the pipes and any pump you can see (especially if yellow) because there is a method used to keep pipes to distant taps constantly warm, which is wasteful of heat.
BTW energy from electricity costs around five times as much as energy from gas, so use gas, if you can, for all heating and hot water.
Cost of lighting is insignificant, as long as you have energy-saving or LED bulbs. Halogen downlighters and spots are much more expensive to run.
phone chargers are so small you can hardly measure them.
the most expensive appliance in our house is the tumble drier, because it is a heavy load that runs for hours in a week.
Washing machines and dishwashers only run the heater for ten minutes or so to heat each hot cycle so cost little. The motor and pump are trivial.
Electric heaters are expensive, but if you have a baby or frail person in the house, an oil-filled electric radiator at a low setting during the night probably costs less than running the whole house CH. Turn it off when the CH is on.