Shop around but be aware if you do change and the dog gets a claim, if it's somthing they think was there when they weren't covering you, most insurers will use that to not claim
Pet insurance will usually go up because as pets get older they become more likely to claim, and they base it in things like local claim volumes too
We are with pet plan for our cats, costs £45/month for 2 pedigrees including the death cover , we got £100 cashback on that though. There are cheaper ones but per plan are generally well regarded and most vets can claim up front rather than billing you