Mine with the RAC was OK at renewal in July, but I did read somewhere about price rises linked to increases in claims for theft and personal injury, plus the cost of repairs going up, due to price hikes in car parts and of course energy bills for repair shops.
As well as shopping around, it is worth checking how many miles you do each year and making sure you are not paying for the average, which is fairly high at 10-12,000. If you only do half that, it can cut your premiums by quite a bit.