@bill5 not all guitars are created equally, and especially with acoustic the most minute thing can mean the difference between a true gem and a stinker.
Just like any other instrument, virtual or physical, the category is not a monolith. Different sub-types are catered for different use-cases.
I'd say there are three major body-styles of steel string (with some images for scale):
Parlor (small)
Concert (medium)
Dreadnaught (large)
There are of course more types, but these are the major categories.
In addition feel as you hold/play it, each has a general tonal characteristic:
Parlor: softest, focused midrange, maybe a bit on the boxy side (especially when strumming), nice for fingerstyle
Concert: fairly loud but not heavy bass, nice for fingerstyle and good for strumming
Dreadnought: very balanced & loud, most bass of all, ideal for strumming (western) and flatpicking (bluegrass)
I personally think that, while Dreadnoughts are easiest to find (especially at 'budget' price-points), they're not actually the most well-rounded or the easiest to record.
You'll probably find the most luck in the 'Concert' style.
Don't worry about electro-acoustics or cutaways—for this use-case, you simply won't need them!
(I *will* say that it is not bad to get a used guitar, though I understand why you might want to buy new.)
For super-cheap and reasonable expectation of quality in this category, you really can't go wrong with a Yamaha FS800:
Amazon product ASIN B01C931H4S
Whatever you do get, make sure to take it to a local luthier and get it professionally set-up. Even 'great' guitars need this treatment before serious usage, and it is something I categorically recommend to any guitarist on any guitar.