He was right but there is no need to cite any law or precedent. Just state clearly that I do not consent to any search without a warrant.
FYI, under the Fourth Amendment, police do require a warrant to search ones home or person. Generally, there are six exceptions where a warrantless search is valid. Those are (1) Search incident to lawful arrest, (2) plain view exception, (3) consent, (4) stop & frisk (requires reasonable suspicion of criminal activity), (5) Automobile exception (w/ probable cause), and (6) Emergencies/Hot Pursuit.
Here, Officer Porky and Pinky could technically state that they saw or had probable cause to believe a dangerous felon took shelter inside their home, therefore, exigent circumstances existed to search the preemies while in hot pursuit.
I think had he not been recording the interaction it would have gone differently. However a good attorney could get it tossed, but would require resources that many in our community do not have.
The NAACP has published a pocket guide to knowing your rights when dealing with police. Anyone can get in contact with their local chapter and pick up a box full to distribute to folks in their community. If you are sincere about your efforts to combat police oversight in your respective communities, I implore each and everyone of you to get involved on Sept 6th for the nationwide action against police brutality, more info here http://www.sept6cta.org/
If nothing is officially going on in your town, then please reach out to your local NAACP branch for some pocket guides and distribute them.