The best electric shaver for body hair removal by far is the Braun Syncro system, either the 7526 or the 7505. The 7526 has a self cleaning module.
Other shavers will overheat or have the screens fail early. This has never happened with the Braun. The Braun also gives the closest shave of any electric I have tried, and I’ve tried them all.
If you are extremely hairy you should also consider laser treatments for your hairiest areas. Chest and back would be a good start. Even one or two treatments can make a dramatic difference and make shaving much quicker and easier. You should definitely consider some laser if you can afford it.
RJC2001