Form starage heaters to work correctly you need to be on 'economy 7' or it's latest equivalent. Do you have 2 electricity meters?
Economy 7 gives you cheaper electricity throughout the night but much more expensive during the day. Storage heaters are basically a brick wall in a cover, overnight the cheap electricity is used to heat them and then they should gradually release the heat during the day. A 'boost' feature blows air over the bricks so it comes out warm but will cool the bricks quicker.
The first pic does look like a storage heater, the third looks like an electric convection heater and the second I'm not sure.
If you are not on a tariff where you have cheap overnight electricity the storage heater will cost you a fortune, if you are then you need to start putting things like the washing machine and dishwasher on overnight not in the day.
Personally I would get a simple convection heater for your little girls room, you can wall mount them so she can't touch. Something like this.
www.amazon.co.uk/PORTABLE-ELECTRIC-INSTANT-CONVECTOR-THERMOSTAT/dp/B00H2IUPKI/ref=sr_1_21?s=kitchen-appliances&ie=UTF8&qid=1448348209&sr=1-21&keywords=heater
Then experiment with putting different heaters and watching your meter. I'd also call the electric company and check the tariff.
In the first pic the dial on the right - does it have little plastic bits you can click in and out? If so click in for the times you want the storage heater to heat up (not the same as give heat out).
The slidey switch needs to be on 'clock' I think the other dial and switch are for the temperature (dial) and 'boost'.
The third one looks as though it is just on/off