Our pet insurance for the dog jumped massively as well, twice what I am currently paying for car insurance. I did phone them up and they gave me a 15% discount - why not the lower price in the first place??? yes, apathy.
Make sure if you are looking to change you read the t&c's through because sometimes cheapest isn't always best.
The breakdown cover we got with our car does not cover punctures/wheel changing or transport pets.
As an oap this may well be needed one day. So I am paying for my own breakdown cover over and above just in case I ever have a puncture, and the dog is in the car for most of the mileage we do so need her rescuing as well.
Got you over a barrel, they know we all need it legally so can charge what they like.