I know of three types of kale. 1) Russian kale, kind of spiky edges on the leaves and tinged with pink. 2) Lacinato kale, aka dinosaur kale, sounds like this might also be called Tuscan kale based on the rabbit-ears shape of the leaves. And 3) curly kale.
I don't eat kale raw, I cook it much like spinach (and it cooks down, volumewise, much like spinach too). That might solve the texture issue. My standard lazy-cook method is to put it into a pot of boiling pasta -- I just wait until there's less than two minutes left to cook the pasta, then dump the kale straight in so it only cooks that last little bit and I get a one-pot meal.
Ironically, I don't like Russian kale at all, am fairly neutral about Lacinato kale, but really love curly kale! (again, no curly texture issues when it's cooked).