I had a tool quite similar to the one in the link and it is wonderful.
If you have one cat that sheds more than the other, it’s usually not just the hair length but also genetics.
What I mean is that some cats with very short hair also have a thick downy undercoat. My Velvet was like that and that de-shedder tool worked miracles.
Except for the white tuxedo pattern, all the rest of her was that beautiful bluish gray typical of a Russian Blue or British Shorthair, both of which are Northern climate types and of necessity have that thici double coat for insulation. Same thing for Weegies and Maine Coons.
Obviously most cats are mixed breeds, but one type frequently predominates and you can tell by body shape, personality , etc.
Most of the Northern clime cats are also ” cobby” type cats. This means bigger, heavier, stockier, larger bone structure etc. Look at pics of the breeds I just named and it will become immediately apparent.
On the other end are Oriental type cats, usually thinner, not so heavy, petite bone structure and very active and vocal.Siamese are extreme examples.
And many Oriental breeds originated in southern Asian regions where temps are hotter so they have no need of an insulating undercoat. So Oriental shorthairs are easier on grooming chores. Some of them have pretty sparse hair (less hairs per sq. inch than others cats) even tho it’s not readily apparent from looking at them.
But in between (or in mixtures of) these types are a lot of variations and combinations.
I’ve had sparse coated cats as well as double coated and the double coated are a whole lot more work. And using a deshedder tool on a sparse haired type doesn’t really do much more than just a regular comb and/or brush.
It was a good thing because my Kitten Mitten who had a lot of Abyssinian in her HATED IT. But as long as I used a comb once a week, even when shedding, it was fine.
I used to do Velvet every day during shedding and got off huge amounts of hair each time. But the first time is always the most dramatic in volume. I had had numerous cats prior to Velvet but I’d never had a cat with THIS much hair. That’s sort of what prompted my research into the whole hair thing.
So def. get what Syz recommended. People rave about it for good reason.
BTW. The hair by itself is not what bothers your allergies, per se. It’s the dander (skin flakes) which attach to the hairs which are the problem.
But you don’t have to bathe the entire cat. Allergies can be significantly relieved by merely taking a damp (not wet, just damp) washcloth once EVERY day and wiping over every inch of kitty. Cats usually don’t mind this since it’s like being petted.
If you find that those special wipes work better, then use those. But the key is consistency. Wipe your cat with a damp something every single day at least once or more. You’ll be amazed at how much it helps.