There are different approaches. The simplest one for you would be to create your form in Adobe's FormsCentral forms system. Whenever somebody submits the form with data, you can be informed via email about that, and all the forms submissions would be stored and available on the FormsCentral page as a spread sheet.
You can also create forms in Acrobat and add two buttons on your form - one to submit the form, and one to reset the form. For the submit button, you can use either submission to a web server, or you can submit the form via email (in which case you would get an email with an attachment, reflecting the form data, or the complete form). To use the email submission method, when you create your submit button, use a submit URL of this type:
mailto:user@domain.com
Make sure that there are no spaces in that string.
This will work for full PDF files if your users are using Adobe Reader XI - for earlier versions of Reader, you need to save the PDF file with extended Reader rights using File>Save as other>Extended Rights PDF>Enable more tools. If you do that, you need to keep in mind the EULA restrictions in this case: http://www.adobe.com/products/eulas/pdfs/Reader_Extension_Policy_A10-5-31-2011.pdf
Karl Heinz Kremer
PDF Acrobatics Without a Net
PDF Software Development, Training and More...
http://www.khkonsulting.com