This link to the TurboTax help page Now You Can Do Your Taxes with TurboTax(Kindle Fire Edition) App  has information on preparing your tax returns on the Kindle that you may find useful.

There is no TurboTax on the Amazon app store just a refund estimator, so 

Please click here for TurboTax Online system requirement and click here for TurboTax CD/Download system requirements. If you prefer to speak with an agent concerning this, please click here to get in contact with customer care.