Ah, dang, I didn’t see this two weeks ago. I started using electric shavers/epilators three years ago because my dyspraxia/arthritis had gotten to where I cut myself with razors far too often.
As far as shavers go, I have used a Remington F5-5800, a Braun Series 7, a Braun Series 9, and a Philips Norelco OneBlade.
The Remington is definitely the best bang-for-buck. The Brauns are just not three-to-five times better. The cleaning/charging docks are certainly convenient (especially if you have executive dysfunction - don’t fall into a loop of “I should shave -> I should clean my razor first -> I’ll do it later”). Beyond that, I don’t think the Series 7 foil is that large of an improvement, and the cost of the Series 9 makes it hard to recommend.
But this is a place where I am sensitive to the small improvements so I extreme coupon’d my way into the Series 9. It is still not perfect, but it leaves the least irritation while also getting the closest. I have some white facial hairs that are much thicker than the rest and the Series 9 is the only one that could consistently cut them.
The OneBlade is a different kind of electrified razor - it’s a thin cutting blade the size of a standard cartridge razor, but with trimming edges on either side vertically. This is great for trimming a few days of growth on facial hair or body hair (some models come with guards and combs for this purpose). It can consistently give the appearance of a smooth and complete shave and never irritates my skin, but it doesn’t cut as close as the foil shavers, which themselves don’t cut as close as a cartridge or safety razor. If I haven’t shaved in a few days, I use it to get 90% of the way there and finish with the foil shaver. I also use it with a comb/guard for body hair.
I can’t speak to a rotary, unfortunately, but maybe you can try the OneBlade as it’s relatively inexpensive.