Homeowner's insurance is not tax-deductible. Mortgage insurance can be deducted however, see below. Are you asking about something else? Most tax deductions are entered on the federal return and TurboTax will transfer those over to your state return(s). Here is a list of things homeowners can deduct from their federal return. If you forgot to enter any of these, you would go back to the federal interview to enter them there.
If you own a home, you may be able to deduct:
Unless it's a rental, you won't be able to deduct homeowner's insurance, repairs, or home improvements. If you're self-employed, however, housing-related expenses such as mortgage interest, rent, utilities, repairs, insurance, and depreciation for the portion of your home or rental that you use to run your business are allowable expenses under the home office deduction.
Where do I enter the home office deduction for my business?