In yoga, one interpretation of meditation is one-pointedness in terms of our attention. Thus we can choose to focus on healing one particular animal we know is in need, healing societal injustices towards animals or on fostering a greater connection with ourselves and a particular animal or groups of animals.
Often, guided visualisations and relaxations can help us into a meditation. See an exemplar script here for the first video below.
Exemplar animal-oriented guided meditations/visualisations: