If you're sure that the home owner is responsible for paying for your losses you need to send him a formal demand for payment. That demand should show both your own and his name and address. It must be dated and clearly state that it's a demand for payment, giving the amount owed and the reason why. It should also state that if payment is not received within a specified period (I'd suggest 42 days, given that his insurance company might need to be involved) you'll commence legal proceedings.
The home owner can then choose to:
(a) pay up ;
(b) pass the matter to his insurer ; or
(c) do nothing.
If you don't get payment (and you're absolutely sure that you've got a valid claim against him) you should make a claim using Her Majesty's Courts Service's online system:
https://www.moneyclaim.gov.uk/web/mcol/welcome
Chris