I commute 12 miles a day on the road on a hybrid bike with 700x37 tyres.

Last Thursday I fell off my bike on some ice and got hit by the car that was following me. I'm ok, a bit battered, some trouble with my knee and a dislocated finger but got off lightly considering.

The tyres are quite worn and I'm picking up quite a few punctures so it's time for a new set and I have a couple of questions.

Could worn tyres have contributed to my lack of grip on the ice? I've cycled that route every day for about 3 years and never slipped on ice there before. I'm a bit nervous about going back out on that stretch and hope new tyres will give me some confidence.

Are there any specific tyres that are good for potential ice and for good puncture resistance. I do about 3-4000 miles a year.

many thanks,
Steve