With many hybrid dogs, the generations — described as F1, F2, F1b, etc. — tend to tell how the mixed breeds' offspring should turn out. That is provided the breeder knows how to do things, of course, and is not a backyard breeder (BYB). With the Chonzer, however, there seems to be less focus on making these mixed breed puppies more like one or the other of their purebred parents. (This can be done with F1b and onward, where back-breeding to a purebred will help the genes of one breed be more prominent in a hybrid dog.)
Many breeders seem to believe that the Miniature Schnauzer parent often takes precedence in the coat of the Miniature Schnauzer Bichon Frise cross. Due to this, you should expect the coat to be a bit coarse and somewhat wirey rather than having the cottony softness of the Bichon. Still, there are no overly common coats or real variations for these dogs. As your Chonzer ages, however, you might notice the coat color changes too. For example, a salt-and-pepper-colored coat may turn to basic gray later in the life of a Bichon Frise Miniature Schnauzer mix.
Size is perhaps where variety is most noticed with the Miniature Schnauzer Bichon mix. While there are no formal size varietals, there is still some range within the miniature category that best describes the Chonzer size. While the 10-pound difference between the basic range of 25 to 35 pounds may not seem like much, with dogs it is a considerable range of weight. Of course, this affects their height too, and that can vary from a mere 10 inches tall the way up to about 18 inches.