So, you need to get the property appraisers annual assessment notice. You should be getting one every year. This will outline the projected value of your home and the projected increase (or decrease) in property taxes.

Ours went up 33%. Yea, it sucks but it is what it is. I flipped that into a new homeowner's insurance policy with a different provider, more coverage and it saved me about $110/month.

You also should shop around for homeowner's insurance. You never know what you might find.