Given that you say you are an "old man", I would first ask if there are any special physical/disability considerations? I'm 52, now, and I'm starting to understand aging. I can't see anything without my reading glasses, I've got a bad knee from a rollerskating crash at age 44 that sometimes requires me to use a cane, and will never get any better.
I'd also ask what you mean, specifically, by "rechargeable". Do you mean the flashlight can sit on a charger until need arises? Or are separately rechargeable batteries acceptable?
Do you have difficulty operating small switches? Many modern flashlights have multiple modes, but not all of them are complex.
I'm happy with my Fenix E12 and very happy with my Fenix HM23 headlamp. There's a 2xAA version of the E-series, the E20, that is otherwise identical.
All of these models turn on and off with a single button press, and have three brightness modes accessible with an additional tap or two. All turn on in Low mode, and all have long battery life.
I use primary cells in mine, because rechargeable cells would self-discharge faster than I would use up their charges, because these lights do not sit on a charger, but need to use a separate charger for the cells. I just make sure to keep a spare battery within arm's reach.
My E12 is my EDC, so the spare battery lives in the same pouch as the light, plus I keep a spare in my desk at the office. My Inova X1 (not recommended) is my bedside light, so there is a spare AA in the little dish on my nightstand/kotatsu table straddling my futon, where that light lives.
I admit I'm not a fan of lights with integrated batteries that must be charged with a cable or cradle. My kotatsu is already crowded enough with iPhone, iPad, and MacBook, and chargers for all of them. My usage patterns are better suited to using separate chargers. So, I can't really recommend those integrated types, based on having no experience with them, but many exist.