Here is the link to find the information for the state to be filed an extension.
In regard to your state return: Some states will piggyback off the federal extension, so there's no additional state form to file. Other states require you to submit their own extension forms. TurboTax will walk you thru the state extension as well as the federal process to ensure you follow the requirements of your state.
If you're curious about your particular state, here's a list of extension requirements by state: https://www.irs.com/articles/state-tax-extension-information