If you want to save the PDF forms along with the filled data you can:
- Use any form with the paid Acrobat Professional
- Use a form extended with Acrobat Professional (limited to 500 forms). See this article for more details.
- Use the forms extended with LiveCycle Rights Extensions (unlimited distribution of forms is allowed). See this page for more details.
Using LiveCycle Reader Extensions a form designer can extend or apply document rights to the form to enable saving of filled data using even the free Reader. Using LC RE a PDF producer can achieve much more functionality for free Adobe Reader like, enabling end users to save data locally, add and save annotations, apply digital signatures, dynamically embed data in a barcode, and integrate with web services for PDF forms and documents.