House Insurance doesn't usually have a no claims bonus, but it can. So check with the insurer. Another insurer might refuse to quote at all if there is a previous claim, but this depends on their underwriting criteria. A claim of 4K is relatively small.
Check a few online quote engines and input for a quote with and without the claim. This should give you an idea of what way it will impact on you viz other insurers.
I suggest that you give the insurance company or your broker ( if you have one) a bell and they will give you a definitive answer.
A different insurance company may not take you on as a policyholder if you have had a recent previous claim. Different Insurers have different criteria. However, a recent previous claim, if it is to have any effect, will have a detrimental effect on placing business or the level of premium that you will have to pay.
In the current market, with insurers attitude towards claims, people really need to consider whether it is economically viable to make a claim.