If I live in Florida and automatically got the extension to file and pay taxes by May 1st, Will TurboTax Program let me file? (I don't need an extension).

Yes, you can use TurboTax.  TurboTax has a variety of products to meet your needs. If you're unsure of completing your own taxes, you can select TurboTax Live Assisted which includes on-demand help from a tax expert or Full Service where an expert prepares your taxes.  Here's the link to get started with TurboTax.  You can select the situations that apply to you (such as: I have a job, I own a home, I own rental property) and TurboTax will give you options.  You also have the option to Start for free and based on your responses, TurboTax will inform you that you need to upgrade to another version.