Hi Yellowsky, it sounds like you are doing the right thing by talking to solicitors. They will be able to give you advice on the sale and division of the property, any other relevant financial matters and also the child arrangements once you have moved out of the house.
Hopefully the house sale will go through shortly. If he refuses to sign paperwork for sale then the court can make an order to sign in his stead. Hope that won’t be necessary.
If he is making accusations and the authorities are supporting him, then you need to be very careful how you behave to him and make sure you do nothing that can be seen as abusive. Speak to your solicitor about these allegations and any implications for you.