Hello!
Furry is an anthropomorphic animal a.k.a animal with human characteristics (ie. walks like human, eats like human, dresses like human). A fairly well-known example would be the Zootopia movie. That movie revolves around furry characters!
Meanwhile the definition of a "hybrid" that we're using in this zine refers to human with animal traits (ie. human who has cat ears, cat tails, etc.). Think of Hawks in BNHA—he's a bird hybrid with birdie wings!
Hope this answers your question! (^w^)