I'd look for car and home owner's insurance to go up 25-50% across the board in the next 6 months for everyone.
Insurance companies are no different than anyone else. Their costs have risen. They have to pay people more, their operating costs have gone up.
This is what most people don't get. When a business's expenses go up, they pass it along to their customers. Whether it's their cost of good, taxes, whatever. Yes, taxes. Some of you need to read that 10 more times.