Exciting topic I know!
Our house is electric only. Not connected to gas mains. We do not have central heating, each room has electric wall heaters. Our hot water is immersion heater/boiler only. The shower runs off the hot water.
What do people find is best with their immersion? On all the time? On a couple of hours a day? I'm experimenting with how often to have ours on, but don't seem to be using much less electricity and I am just ending up with cold water. It was on 2 hours this morning and all the hot water seems to have been used on two sinks and DH's shower!