If you are wanting a serious answer,
All living creatures are souls, or Neshama.
Adam became a living soul, or Neshama, when God gave Adam the Breath of Life, or Nefesh in Hebrew, That was lost at the fall, and restored or replaced with the Holy Spirit when a person receives Christ.
So the Bible doesn’t specify about the eternal state of animals and other living things.
I agree pretty much with @chyna that sentient animals probably do have a place in the New Heaven and New Earth—and when doing funerals for beloved companion animals, as a minister, I merely thank God for the animal and the times we had with him/her—and commend their souls to God. Its just a special blessing I give and not anything sanctimonious I DO believe that God can and will ressurrect our beloved companion animals as we also await resurrection to bodies incorruptable, imperishable, immortal.
Most animals never even think about death or eternity, but sentient animals do grieve. And although humans are uniquely made in God’s image, God loves all creatures and gives them whatever place God gives them. We can really only know about ourselves, and thank God for other created things.