I have a cornish rex which is a breed that does not have the outer coat of fur but just the undercoat. The texture of his coat is very soft. Sort of like velvet. My husband feel in love with his coat right off. That is why we got him initially. He doesn't shed anywhere near what my other three do. As a matter of fact I have never seen any of his hairs around. I am sure they are there but maybe lost with the others hair.
The other thing I love about Zander is he is extremely affectionate ( a trait of the breed) There isn't a lap he doesn't love to sit in. And since the lack of outer hair makes him a little chilly he loves to snuggle. He is also a very active and intelligent cat which makes him a joy to watch and interact with. The Cornish Rex also has a very distinctive look which my husband liked. The description on the Cat Fanciers Association fit him to a tee if you are comparing breed and looking on that website. They also have pictures of the Cornish Rex. My husband and I are just so in love with this little guy.
So are everyone who came over to greet him when we first got him. He is very social and fearless. Good luck on your research and may I commend you on finding a breed that would suit you.