Can you go to the new place early?
It is not a good solution if it is cold and with mold, but once you are living there you can force them to get it treated. I think you just need to get out of where you are as soon as possible.
Do you have a friend with a van, or one you could hire and just get it done in one day? I know that is hard work, because I have done it several times. But afterwards you will at least be in your own space where you are safe from him.
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