crossbill, species of nightingale
鶡 is a rare kanji for specific birds: a crossbill and a kind of nightingale. Its meaning is limited to these bird species.
鶡 combines 曷 (likely phonetic) with 鳥 (bird), forming a character for specific bird names. The exact historical development is uncertain.
The bird radical 鳥 on the right signals a bird. The left side 曷 looks like a perched bird with a crest, helping you remember it's a specific bird like a crossbill or nightingale.
For カツ, imagine a crossbill cutting a pine cone with its beak: cut -> カツ, and the bird's specialized beak does the cutting.