It is old school, log cabin, and very 1930s but a simple bucket full of sand works on most fires and work very well on grease fires.

A five pound ABC dry chemical fire extinguisher may run you $12 to $18. Larger units and less popular types, like pressurized water, foam or CO2 are much more expensive.

A nice two and a half gallon galvanized steel bucket goes for about $10 and builder's or beach sand can be had for free. Of course you don't have to buy a new bucket. Any appropriately sized bucket with solid construction will work. Your typical five gallon units are too big. They would be too heavy when full and too large to swing easily. I have seen them cut down to half size and they seemed to work well enough.

If you can manufacture a lid that can be removed immediately you can simply use a two to three gallon plastic bucket and fill it with water with a cap full of bleach to keep the water from getting funky. You wouldn't want this setup in the kitchen or garage where class-B fires are your major hazards but in the basement or bedroom where class-A fires are most common it would work well. Possibly better than a five pound dry chemical unit. Given the cost there is no reason not to prepare two or three buckets ahead of time.

Another option is to have a thick wood blanket on hand. Better still if it is treated with a borax solution as a fire retardant but even untreated wool is naturally fire resistant enough that it will still work to smother a fire and buy you time. covering a fire with a wool blanket and following with a bucket of sand or water, depending on the type of fire, is a time tested strategy. A wool blanket is still considered the best way to extinguish a person on fire.

My point here is that while commercially available extinguishers have become the reflexive answer for fire protection there are other, older options. Options that are both cheaper and potentially more effective than most off-the-shelf extinguishers. People have been fighting fire for a very long time and many of those older techniques still work. Sometimes they have real advantages in cost and your ability to create, maintain, and refill your own fire fighting equipment.

A lack of resources shouldn't keep people from having effective fire protection on hand.