We run them but usually only on drug houses. We kind of go off the legal guidance on it; we will request a no-knock if we have a serious felony, intel that our suspect is armed and they have a history of violence, particularly against police, and there aren't any other factors that would rule out doing it. We won't do it if we can avoid it. Oftentimes, we will get a "no-knock" clause specifically added to our search warrant, but surveillance and marked patrol cars will sack our suspect on a traffic stop while we are assembling. SWAT serves all of these warrants, with everyone in full uniform (no masks, either). As soon as we start breaching, we identify ourselves.
Most of the time, we knock. When they answer the door, the first, plain clothes officer, talks to the resident while we go in and do the protective sweep. If nobody answers after about a minute or so, we announce and breach. If we got the suspect on a traffic stop prior, we will get the keys from them. If they tell us there is somebody in the house, we will call sometimes on the cell phones to get them out. We'd rather not break the door. No-knocks are kind of a last resort.
An example is the last one I was on. One house that we have served 5 search warrants on in the last 3 years, and two barricaded persons calls. A dope case with at least four subjects, all armed, with histories of assaults on police and others, running from the police and resisting. Also numerous reports of the suspects shooting their AKs in the backyard (with their backstop a local, busy mall). Surveillance was on the house several hours prior, and nobody left, but we knew that they were all there.
We try not to us no-knocks very often; they are a tactic of last resort. Every search or arrest warrant we serve, from a minor traffic one to a major felony, goes through a formal risk assessment and risk mitigation process. The emphasis is on risk mitigation, with the plan doing what is necessary to lessen the risks to everyone involved, officers, the public and suspects alike. It has worked pretty well so far, with nobody (knock on wood) ever getting injured on any of our warrant services.