So first point:Having the carriers and their health documents always in the same place, at hand and ready.
Second point: Have an emergency reserve of pet food and water
Third: Have them with means of identification preferably chip but depending on the pet owner's geography each person might have to adapt to their possibilities.
Hmm it's beginning to take shape...
Yay more ideas please heh
" How we behave toward cats here below determines our status in heaven."
- Robert A. Heinlein