Beasts
Animals
noun, の adjective
Things that are of the beast type or animal type are within the beasts and animals category.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
引越しを考えてるんだけど、どこも鳥獣類禁止ばっかりなの。
I’m thinking of moving, but just about everywhere prohibits birds and animals.