My almost-daily-carry, purely defensive blade is a Spyderco Civilian. It is not my primary defensive weapon; more like tertiary. My actual EDC blade is a Tarani Masters Model Karambit folder, pre-5.11, made by Blade-tech for Karambit.com, back it its day. I do, indeed, think of my Karambit as a tool; I like curved blades for utility purposes, because when I need to cut something, it is often very convenient to reach to the far side, hook it, and cut on the pull.
Yes, I do carry one or more firearms for actual defense, and for when duty might compel me to go on the offensive. As my formerly "strong" hand increasingly aches and ails, when I have a choice, I carry a fairly new Glock G17 as the primary weapon. When mandated, about forty hours a week, I carry my .40 P229 SIG. (9mm is notably kinder and gentler to old joints.) An SP101 is the normal secondary weapon, though I may soon acquire a G26 to be the new "Gun Junior."
For the non-USA folks: In the USA, police officers who are "off the clock" are generally considered subject to duty at all
times, and it is normal for us to carry weapons at all times.
I have attended a bit of blade training, enough to convince me that I would much rather fight at a bit beyond contact distance whenever possible! Of course, it should be obvious that awareness, positioning, and footwork should be one's Plan A.
Civilians, Dodo, Guntings, Mili, P'kal, Rescues, Ronins, Temperance, others...
Have Colt, will travel.