This is a question which I posed to adult members of my family on many an occasion while growing up. More often than not, the answer which they gave me was based rather on that which they knew I wanted to hear, than on specific Scriptures.
It is also a question to which, when the verses pertaining to animals in the Bible are pondered on, the answer does not immediately seem that clear. Animals are so very dear to the hearts of so many people, as they are to mine, that the mere suggestion that their beloved pets might not go to heaven, would be met with fierce opposition. Would that opposition be warranted?
Please tell us what you think in the light of the Scriptures such as: (Gen 1:25) And God made the beasts of the earth according to their kinds and the livestock according to their kinds, and everything that creeps on the ground according to its kind. And God saw that it was good. Also (Isa 11:6) The wolf shall dwell with the lamb, and the leopard shall lie down with the young goat, and the calf and the lion and the fattened calf together; and a little child shall lead them.