px_eliezer_ Safelite was one of the places that popped into my mind, too, thanks to their advertising. They have a shop 8 miles from my house. Wife noted that an independent shop closer to house has better google reviews FWIW.
Only other time I have had a windshield replaced was on my son's car when he was in college. Whomever insurance company used came to the house like Safelite can, but it was not them.
As noted above, it won't hurt to call them and discuss whether I file claim or not. I vaguely recall they recommended and arranged the other company that did son's car. I use Amica for insurance and have been satisfied for decades.