Earlier quoted context omitted.
Really, a kitchen should also have a type K fire extinguisher which isolates burning oil from air to prevent reignition (burning oil extinguished with an ABC dry chemical fire extinguisher is likely to reignite on its own). Unfortunately they seem rare in home kitchens, likely just due to a lack of awareness as they really aren't that expensive at the home improvement store. Glass fiber blankets are also a good choic…
Fire extinguishers require regular inspections/refills that, I fear, many home users won’t do. Because of that, I think the blanket, combined with a fire alarm (also requires inspections/maintenance, but will annoy you so much that you will replace the battery regularly) is the best option for kitchens.
One of my habits is to put inspection dates for things like fire extinguishers, fire alarm batteries, emergency water, etc. into my calendar.
It's basically a quick check every quarter, with a full-on inspection during spring cleaning. Doesn't take much time, and gives me a lot of peace-of-mind that my emergency stuff is actually going to work when I need it.
On that note, something that I also don't see people doing, is making sure they know how to use their equipment for its intended task. I made it a point to try an extinguisher on a tiny fire in a safe setting, just to make sure I understood how it worked.
Ditto for always taking the stairs down whenever I leave a new hotel room. I get a little more exercise, and if there's a fire, I've already "escaped" once.
Pro tip: do not attempt to apply this advice while flying. They don't even let you keep the slide!