Just seen this, what a bugger... but good to hear that you got it sorted.
As others have said, for anyone ending up in a similar situation, don't even mention it to your insurer - there's a big risk that they will note it as an 'incident', and it will go on the central register. You will then have to declare it on subsequent renewals.
As for claiming on insurance check what your excess is and factor in no-claims and increased premium next year - windscreen replacement normally does not affect NCB but I bet tyres will.
Glass doesn't affect NCB, but when you are getting subsequent insurance quotes, it does have to be declared as a claim for 5 years. Most companies increase the premium, but it varies a lot and the increase is minimal with a few of them - again, it's best to shop round.