Ok, I'll get a detector of some kind and hang it up somewhere handy. no excuses as I work in the hardware store... and get a employee discount. it'll have to be battery only as the electric goes off all the time with me (off grid power).
I am careful with the stove, you really can't overload it much as the firebox is really tiny.
Workshop is another matter.... more extinguishers are handy, but also a LOT more hazards compounded with the big old Shrader stove. Plenty of additional fuel sources (gas, oil, solvents, etc). We operate that in a relatively safe fashion as well. Smoke detector would not help as the place gets full of welding fumes often (exhaust fan a cranking as well).
wood stoves can be safe, and as pointed out, safer than gas in some ways. It is the operators responsibility to be certain of a safe installation. Be honest with ourselves, for every stove that is installed correctly there are two more that are compromised one way or another....