Get 2 kerosene heaters. Find kerosene for sale at a pump. Check your Co-op stations for this. Get clear if you can.

Get some extra wicks, and fill 2+ steel 55 gallon barrels with kero.

A half ass wood stove will kill you and your family. The fuel attracts mice and snakes, rots without a shed, and the smoke gives you away.

The kero setup will literally outlive you and is insanely reliable with no visible emissions. I have a pre-WW2 Perfection kerosene heater that works fine, and several Kero-Sun models from the 70's. They all work fine.

At $4/gal for kero, each barrel will run you about $225. Max out your budget here.

Kero wick heaters are stupid simple, stupid reliable, and store insanely well. Propane is great, but requires fittings/regulators/springs/specialty everything to keep them going. They work well, right until they don't.

To respond to your original question, the easiest way in brick especially a two story is a through wall with double wall insulated insert then standoff up pipe on the outside wall to the roof. You may have to curve around your eve so a sidewall is best.  Don't forget the top hat so it draws and doesn't let in water.

Best place to go is a Woodstove store in your area but you can get the parts at places like Ace, Lowes, etc.  Just know at those stores, you will need to figure out what you need.  There, of course, are contractors that do this too. Its not that long of a job.

PS, Don't forget a good insulated floor mat for the stove. I think I got mine at Tractor Supply.

Anyway, through wall kit is like $400 then its like under $20 average $13 per section.  That's the 304 stainless for outside.  Its more expensive than the classic black but will last much longer.

I like this approach best because a ceiling approach means two through ceilings, ceiling then roof.  You can also in a two story add a "T" later and do another through wall for adding a stove upstairs.

I really hate to quote myself, but I've been there, done that, got the T shirt. I've been though this.

Is kero infinitely sustainable? No. But your chimney ALONE will blow your $1k budget, assuming you have a simple install. Then the cost of the stove. If you buy a used stove, you are likely getting a burnt-out POS. If you buy a new stove, they are picky on having well seasoned, premium wood. You can thank the EPA for that. A quality new stove will be twice your budget.

If you insurance company finds out you have a wood stove, they will either jack your rates or cancel you.

If you have a house fire and didn't have the stove disclosed, they will deny your claim, regardless of if the stove was in use or not.

Also, forget about keeping your house a nice 68, or 60, or 50, or even above freezing most of the time. You use clothes for that. In a long term outage like you are prepping for, you use as little fuel as needed, whatever your fuel source. You need to learn to party like its 1799. Community bed, small kids in the middle, WARM ASS BLANKET. You put clothes on during the day.

I'll also clue you in on that your lovely smoke from your lovely warm house will draw all kinds of attention. I hope you are into that communism thing that is going around, because your heat will be "redistributed", regardless of any objections you may have.

Lets not even get into the noise you will be making cutting/processing all that wood, and then you will have lovely stacks of wood sitting outside to cure (if you bring it in the house to cure, you will give you and your family pneumonia due to dampness, old houses were leaky for a reason), ripe for the taking. You going to kill people over stealing a handful of sticks? Even if you do, it won't go well. That's a nice house with a nice warm fire that you won't share. Be a damn shame if something happened to it.... Oh well, you won't need this pile of precious resources anymore, so I'll just help myself.....

In a modern running world, propane/NG is better than kero. Its cheaper, faster, cleaner, better all around. But it takes an industry to keep it going. Kero is an oil. You carry it in a bucket. It is burned on a simple wick. It keeps forever in a barrel. It isn't rocket science, and its insanely reliable. Compared to wood, its insanely clean and efficient and the energy density compared to wood (or even LP or NG for that matter) is not even in the same ballpark. You can literally keep years worth of your kero in your house (not the greatest idea, but it would dramatically prevent theft. Old houses often had their fuel oil in the basement by the furnace), which isn't really possible/practical with wood. You have no visible smoke, and if you only keep a central room with no windows warm enough to not die, unless someone is running thermal, they are none the wiser.

Modern houses are built to use modern utilities. Old houses were built the way there were for a reason. If you take a new house and try to use old tech in it, you have to take certain things into consideration, big one being moisture buildup, another is ventilation (both related, actually).

So stop freaking out, start doing your homework. Either install a proper wood stove properly (and increase your budget to about $4k+, plus additional insurance riders) or get yourself a couple wick type kero heaters, spare wicks/globes and some 55 gallon barrels full of fuel. If any given widespread SHTF lasts longer than a year or two, all bets are off anyway. But again, if you ration fuel like you should, 4 barrels of kero can last you a LOOOOOOOOOOOOONG time.

Stores perfectly fine as it, provided its in a sealed METAL drum. Good to have a Mr. Funnel or other water-removing filter for when you use it, though. Double points to use it when you fill the drums.

I have one of these cooking stoves. They run on kerosene, but can be a bit messy to deal with as when you open it up to mess with the wicks (you don't do this much) as the kero is just exposed in a bowl of sorts. You fill them through a small spout, you will need a small funnel for this. They work, but there are better (more $$$) models too. Some models of kero heater you can cook off of as well, such as our old Perfection heater. Nice to pull double duty to save fuel. The perfection is a much dirtier burn than the Kero Sun heaters, so I rarely use it.

Its used as lubricant in arctic environments because it stays fluid at extreme cold temps; K1 grade (what you get for heating use) has a freezing point around -40.

Many fuel tanks are open vented, not made to hold any pressure. This open vent will let moisture get into the fuel.

Whatever your bulk tank is, it needs to be sealed, and rated for that.

55 gallon barrels are actually perfect, cheap, and available.

Yup.

Ask the manager, but it should be.

Try to find clear, not dyed, if possible.

In my experience, it burns a tad bit cleaner.