You are absolutely right about knowing your rights. The only right police are required to notify a person of is those promulgated in Miranda v. Arizona, 384 U.S. 436 (1966) which includes parts of your 5th Amendment right against self incrimination and 6th Amendment right to counsel, and the application to the states through the 14th Amendment. Other than those, people are presumed to know (and understand) their constitutional rights and there is no requirement for the government to advise or explain those rights.