Provided the house is in your sole name and he has not acquired any interest in it by financing the purchase of the property, improvements to it or has not paid significantly more in rent to mortgage repayments (if any - I note "outright") than he otherwise would have in privately rented accommodation then his creditors would not be able to claim against the property.
If it is registered in your sole name then it is your asset and they could not enforce an y judgment for his debt against it unless they establish an equitable interest in it in the above ways.
Your estate would presently pass under the intestacy rules. If you do not have a husband it would pass to your children upon their reaching 18 years of age. Until then it would be placed in trust for them and overseen by their guardian. For this reason you should make a Will stating who is to be executor of your estate (& trustee of the estate following death before the children are 18) and who is to be the legal guardian of the children following your death.
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