Car insurance obligation in Austria?

Hello together, I would like to get your opinion on the following issue: I have been working in Liechtenstein for a short time. At the moment I live in a holiday apartment, but I will soon move to an apartment in Austria. Now on the actual topic. I own 2 cars. These are both insured because of the favorable insurance classification on my parents, I am “only” registered as a driver. Costs such as insurance, tax, gasoline etc. I carry myself. now, if I register my main residence in Austria – can I simply continue driving the vehicles with a German registration number (with my parents as holders) in Austria as a registered driver and use them for my daily use? Or do I have to register with both as holders and insure in Austria. I travel to Germany every weekend for a visit. What are the possibilities here? Of course, I would like to get the favorable insurance conditions. One of the vehicles has a seasonal vehicle and is therefore only used twice a year. The other is registered throughout the year. Basically, there is always a vehicle in DE and one in AT, depending on how I like to choose the car with which I spend the week in AT. I am looking forward to answers/statements etc. Thank you very much.