First, humans are animals. We are not some separate creature. We are
part of the animal kingdom. Second, there is no difference in DNA.
DNA is DNA. You find the same four bases (ATGC) in humans, bonobos,
pigeons, mice, tuna, tiger sharks, bacteria, protozoa, ... and the list
goes on. The bases are the same, but they are arranged in different
sequences. So the base sequence is different in mice and humans, but the
same four bases are used. Also, the sequence is different between you
and me, but again the same four bases are used. We are all related.
We all share the same four DNA bases. Welcome to the living world, which
we are part of, not separate from.