I live in an apartment, so does this even work logistically? I’m aware there are some health hazards with resin/3D printing—how serious should my concerns be about that? (That’s why I’m asking here and not in a 3D printing subreddit, where folks might be biased.)

I live in a 2BR where the second BR is used mainly for storage. I have my printer set up in there. You will need a desk / tabletop to put it on, but it doesn't need to take up much space - especially if you find / build a shelf to put the printer on with storage above and below.

I have never done resin printing, but from my understanding the resin is typically bad for you. Like it's the kind of thing you're not supposed to dispose of down the drain. For FDM, it all depends on what material you're using. It is recommended to have ventilation when printing ABS (at the same time, ABS is very sensitive to drafts, which will cause warping and premature detachment from the bed). PLA (the easiest material to work with) is pretty benign. TPU will make your apartment smell like beach balls. Attempting to print materials like Nylon on a printer not designed for those temperatures can release toxic gases by burning the PTFE (Teflon) tube which guides the filament into the hot-end.

I started on a Creality Ender 3 v2 (I still use it, but it is barely recognizable). It is rather basic and required a lot of upgrades over time, but it is easy to flash custom firmware on it and there is an enormous aftermarket of replacement parts and upgrade kits. Personally, customization is what I'm interested in, but you may be interested in something with a bit more functionality built in

FDM is basically fine except for a few types of plastic like ABS. There might be some risk of microplastics but you're already getting plenty of those just by existing in currentyear.

Resin does need to be air filtered or ventilated, plus you'd need an extra machine for washing/curing, but it is a lot better at the kinds of fine details and overhangs miniatures need.

Creality makes cheap, decent machines you will have to tinker with. Prusa makes nice and reliable but expensive machines. Bambu makes shiny traps with proprietary firmware and chips on the spools that they pinkie swear they won't use to lock you in to their "ecosystem".

Resin printers mean extra post-processing (gotta wash the excess resin off in alcohol, trim the supports, then cure in a UV box. Then chemical disposal is complicated) but you get higher detail.

But! Fdm printers are getting much better at this too! A well tuned printer (tuning your printer is a whole-ass hobby, be warned) with a 0.2mm nozzle (or a Bambu* basically right out of the box) will work just fine for most cases.

*Look these things have proprietary firmware and that sucks, but it's as close as we have ever gotten to "my printer is an appliance that just makes what I want with no fuss." Don't bother with their expensive filament, it's no better than the cheap stuff and you can completely ignore their microchip system. An A1 mini is barely more expensive than an Ender 3 (which used to be the go-to cheap ass printer) and is the smoothest and fastest printer I have ever owned by a good deal.