Check with your insurance. I have farmer's and they pay minus a small deductible. It did not affect my rates like an accident or a ticket would. They didn't ask a lot of questions. Your company may be different.
Not a local, but we have used Safelite several times (we live near a gravel pit and the trucks are brutal on our windows), always with good results. They will come to your house or you can go to their shop.
Whatever you do, be sure to get a reputable company. I know a few horror stories where friends learned that their windows didn't fit after the first rain.
Horizon Auto Glass horizonabq.com did a fab job on replacing my windshield last year. They were recommended by the Toyota dealer when the crack couldn't be repaired. I think I got out of there for under $200, which was less than my insurance deductible (not that insurance would have covered it anyway - most don't cover glass replacement in NM, only repair). They're on Menaul not far from Flying Star.
Avoid Techniglass at the Jiffy Lube shops. They left the inside of our vehicle dirty with hard to remove fingerprints on upholstery and we had to take the car back twice for wind noise caused by a leaking seal. We used A Classic before and tried these guys out of convenience. Sorry we did. We're going back to A Classic.
It was a couple of years ago, but I had Speedy Glass replace my truck windshield. My insurance wouldn't cover glass, except through the comprehensive deductible of $250.00. They were the cheapest at about $160.00. They even came out in a mobile unit and replaced it while I was at work.