You need a corded heat gun for anything more than a few minutes work. They’re cheap. This work puts too much stress on a battery.
You need better ventilation even though winter says keep the windows closed. But since the doors are flat if you can scrape off the softer paint you should be able to do this project without using the heat gun.
Try the carbide scraper but I’ve never been satisfied with the way they work.
They just aren’t sharp enough to begin with so you need to apply a lot more downward pressure to move any paint.
A thin sharp edge on a steel scraper penetrates the paint with just a little pressure and then you just have to pull.
A few strokes with a fine file every few long scrapes will keep the edge sharp. Just have to maintain the curve of the blade to avoid letting the corners of the blade get too long and making groves in the work.
The CT MIDI moves a slightly less volume of air per minute but it won’t matter much in this case. You can probably use the same bag for all the doors for the first abrasive and maybe some of the next grit. You’ll want to install a new bag for the middle grits and probably for the final grit, even thought the bag feels like there isn’t much in there it’s the surface of bag that gets full of fine debris and reduces it’s ability to allow air through, so more dust is left behind on the work and in the room. The benefit of the larger CT is the much greater bag surface area so one CT 26 bag will probably get you through to the fine grit stage, as long as you pause to open the vac and thump the bag to knock some of the dust off the surface and make room for more dust.
You’ll probably start with 40 grit after successfully scraping off the newer paint layers and you’ll run the vac at full speed. Next you can use 60 grit and maybe slow the vac down a little. From there 80 grit and if you find the sander is getting sucked down to the surface of the door too much you can slow the vac down more. Finally 120 grit with the vac running at around middle speed. You should be able to slide the sander around with the sander off and the vac on. If it’s too hard to slide the suction is still too strong. This applies to when the sander is fully in the field of the door. That is, the sander disk is not overlapping the edges of the door. When it does that some of the dust extraction holes in the pad will be sucking free air so the overall effectiveness of the dust extraction will be reduced. If you can coordinate that you should crank the vac suction back up when sanding the perimeter and turn it back down (to avoid making deeper scratches) when the sander is back inside the field.
For the doors a 5 or 6 inch sander will be good. 125 or 150 in Festool nomenclature. For the frame a Festool DTS or RTS will be better and easier to use than the larger sander, which will be more likely to round over the edges just because they overlap so much. If you want to just buy one sander for now get a 5 inch sander and just be more careful on the frames. If there is the option, get a harder sanding pad to help preserve the flatness of the frames.
I agree that doing this work for a few hours and then cleaning to do food preparation will get old fast. I’d move all the kitchen stuff out to another room for the week, after making a bunch of stuff that can simply be reheated to serve. And/or get some lightweight “Painters plastic” and sub-divide the room. This plastic is easy to use since it has some static cling to hold it to surfaces while you arrange it and it takes tape well so you can secure it to the ceiling and walls to keep the stuff behind it clean.
You’ll need a better brush for the vac to get ready to paint. I like this
Miele Universal Brush because it has fine bristles that get down into the pores of the wood to knock dust out. I like this
Norton Micro Fiber Cloth for final cleaning because it doesn’t get hung up on surface fibers as much as the hairy micro fiber cloths and it doesn’t leave any of it’s own fibers behind.