My understanding is dogs with hair shed a lot less than dogs with fur. All dogs shed at least a little, but some are generalized as non-shedding. The more a dog sheds, the more it can aggravate allergies. I never have to vacuum much, as my dogs are considered non-shedders (but they do a little). On my dogs, the hair keeps growing and they need a haircut after a while. Worth it for me vs constantly vacuuming the house. There's a cool picture of a Soft-Coated Wheaten Terrier in this link, that I always wanted to try. Obviously, several criteria to be looking for as well. Not so sure how you evaluate a rescue- I'm sure a DNA test is possible.
https://blog.homesalive.ca/dog-blog/dogs-that-dont-shed