What to do after an accident without fault?

Hey.. on Friday night a bus drove me into my car.. (Luckily.. Tüv would have expired in August and wanted to sell it anyway..) Is en Ford Escord ’96 and theoretically (hopefully) en economic total damage. Front front of the bonnet dented, headlights broken and bumper torn off. The big question now.. what to do…? The police meant to call the insurance company and clarify how to handle this with the cost estimate or report.. From my insurance (friend of my dad) I let myself be told that I should go directly to a lawyer on Monday and that all this has to be clarified and the opposing insurance has to pay that. I could also choose the expert freely without agreement. And then I have a question about a rental car. If it is also up to me to pay, probably also the other insurance, only the question is whether this is “remunerated”. I heard that you give up a rental car a day also still Does anyone know how to do what when how where? MfG