Sure, bleach will kill mites and also you, if you inhale it and have an unknown allergy to it..
...we already live in a world where our bodies have to cope with many external contaminants such as pollution, and commercial shampoos etc that are mini labs of chemicals designed " to clean your hair" etc. The pores on our skin are there for a reason...
Try to buy a large ( possibly 2 litres that we can buy here from local supermarket) bottle of ACV. It doesn't even have to be organic . Failing that , brown or white vinegar, will do..dilute 1 cup of vinegar to 4 cups of warm water, which should be a 2 litre bottle..a plastic bottle would be more practical where you shower than a glass bottle and can safely be reused, without breaking.
Try it on a small patch of skin to see if it is comfortable after a few moments, and if so add an extra cup of water and prepare to use it, after you have had a hot shower initially, then gradually reduce the hot water until it is still warm but cooler have and washed yourself thoroughly, hair included..lightly towel dry yourself and then whilst your skin pores are open, pour the bottle of vinegar/water, over your head and shoulders and everywhere else (and don't forget to close your eyes) ..a 2 litre bottle of mixture is quite sufficient to do a large adult and another for a child. and leave to a-dry on your body.If infestation is heavy, it can be done 3-4 times a day and should be gone within 24 hours- 36 hours
If all this sounds like a lot of work, it isn't. Doing this every time you have a shower is also helpful for your skin because it gradually alkalines your skin and makes you less suseptable to hosting mites.. They don't like living on skin that isn't acidic.
Before I got sick I used to do this every day and it cured a skin complaint that I'd had for several years and nothing had been able to cure it. But ACV in this proportion did, in just 2 weeks and in over 7 years it has never returned.. but as for bleach? ... great for sterilising bandages and cloth nappies and dog kennels but not on living things..
For some added protection you may wish to buy some solution for scabies, if you don't want to do the ACV everyday.
Go to your chemist or pharmacy and buy 5% Permethrin Cream, and Google scabies lotion online and it will show you step by step how to make the lotion for home use, to keep in case this happens again.
Hope this will be of help to you..
Jenn x
