What a horrible, nasty and unhelpful post Korma. There was no need for that whatsoever.
OP You've had some helpfu replies on here. I hope you can make use of them.
Like no doubt many others I was brought up in a house with no form of heating apart from one coal fire in the living room. We literally had ice inside the bedroom windows.
A couple of tips, which I hope you find helpful.
For washing th children fill a bowl of water from the kettle. Wash the children's hands, face and body. Place the bowl on the floor - they stand in it and you wash their knees and feet.
To make the above bearable my parents would either do it in the living room in front of the fire, or put the cooker on in the kitchen with the oven door opened for a wee while beforehand . This might not be possible, I realise, if you're on a tight budget.
Wear socks in bed - the extremities get cold first.
If you don't have enough blankets to add to the beds get any heavy coats out of the wardrobe and put them on top of the duvets. You could also wear dressing gowns.
If you don't have hot water bottles and can't afford to buy them you can put some warm water inside a bottle, wrap it in a towel and warm up the beds that way.
Make sure you have plenty of warm drinks.
Learn to run very quickly from bed - bathroom and back to bed during the night! 
I know you probably panicked a little when you realised you were going to be without heating and hot water on tap for a few days, but I'm sure you now do realise you will cope just fine.
Let us know how you get on!