what are common privacy rights held by us citizens?

Answer 1

Doesn't a part of the Constitution talk about police not legally able to enter your house without a warrant?

Answer 2

Check this site, especially the Bill of Rights clause about not searching our homes without a warrant. This clause has been interpreted to extend to cars and any other personal property. Also the freedoms of speech and religion should help ensure our privacy.

http://www.harrybrowne.org/articles/PrivacyRight.htm